# How many solutions does x 2 5x 7 have?

## How many solutions does x 2 5x 7 have?

Using the quadratic formula, you can find out that the quadratic has two real solutions.

1 real root

## What will be the nature of roots of quadratic equation 2x 2 − 5x − 7 0?

the roots are real and equal.

## What is the nature of the roots of the equation x2 5x 7 0?

The nature of roots of quadratic equation x2-5x-70 are real and equal.

## How do you know how many solutions a quadratic equation has?

The discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation.

• A positive discriminant indicates that the quadratic has two distinct real number solutions.
• A discriminant of zero indicates that the quadratic has a repeated real number solution.

## Can X have two solutions?

There are usually two solutions because quadratic equations form a parabola in Cartesian coordinates. In almost any case involving a function, the parabola will intercept the x-axis at two points. Those two points are the two x values that cause the function to be equal to zero.

## What is the sum of the roots of 2x 2 5x =- 7?

Cliff solved the equation 2x^2 – 5x + 7 0 and noticed that the sum of the roots was 5/2 and the product of the roots was 7/2.

## How many solutions does x 2 have?

X^2n in the set of real numbers it has infinitely many solutions for assuming n positive or zero xsqrt(n) and for a positive or zero n the function xsqrt(n) is unbounded. So the range is [0,infinity[ which means infinite number of solutions.

two real roots

## What is the nature of roots of the equation x 2 5x 7 0?

The nature of roots of quadratic equation x2-5x-70 are real and equal.

## How many real roots does a quadratic equation 2 5 7 0 have?

Therefore there are 2 roots.

## What will be the nature of the roots of quadratic equation 2x 2 4x 7 0?

The nature of roots of quadratic equation x2-5x-70 are real and equal.

## What is the nature of the roots of the quadratic equation 3x 2 5x 2 0?

Hence, roots of the quadratic equation are real and unequal.

## What will be the nature of roots of quadratic equation?

If D is equal to 0, then we get two roots which are equal and same. If D is less than 0, then we get roots which are imaginary or unreal. Since D is greater than 0 in this case, we get two real and distinct roots. Hence solved !!

## How do you find the nature of the roots of the equation?

To determine the nature of roots of quadratic equations (in the form ax^2 + bx +c0) , we need to caclulate the discriminant, which is b^2 – 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.

## What is the nature of the roots of the quadratic equation x² 5x 36 0?

the roots are real and equal.

## How many solution does the quadratic equation x2 5x 7 0?

Answer: Roots are real and distinct.

## How do you know how many solutions a quadratic has?

The discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation.

• A positive discriminant indicates that the quadratic has two distinct real number solutions.
• A discriminant of zero indicates that the quadratic has a repeated real number solution.

## How do you determine the solutions of quadratic equations?

How To Solve Them? The solutions to the Quadratic Equation are where it is equal to zero. There are usually 2 solutions (as shown in this graph). Just plug in the values of a, b and c, and do the calculations.

## How do you know how many solutions an equation has?

If solving an equation yields a statement that is true for a single value for the variable, like x 3, then the equation has one solution. If solving an equation yields a statement that is always true, like 3 3, then the equation has infinitely many solutions

## How do you know if a quadratic equation has one solution?

The first way to tell if a quadratic has one solution is to look at the discriminant. If the discriminant is zero, then the quadratic equation has only one real solution. The discriminant is the expression b2 4ac under the radical in the quadratic formula.

## Can an equation have two solutions?

A quadratic equation has two solutions. Either two distinct real solutions, one double real solution or two imaginary solutions. All methods start with setting the equation equal to zero.

## Does X 2 have two solutions?

In general, all equations of the form x2 a, where a is a positive number, will always give two solutions, namely x – / a or x / a.

## How do you know if an equation has two solutions?

Here’s how the discriminant works. Given a quadratic equation ax2 + bx + c 0, plug the coefficients into the expression b2 – 4ac to see what results: If you get a positive number, the quadratic will have two unique solutions. If you get 0, the quadratic will have exactly one solution, a double root.

## How do you find the sum of the roots?

For a quadratic equation ax2 + bx + c 0,

• The roots are calculated using the formula, x (-b xb1 u221a (bxb2 – 4ac) )/2a.
• Discriminant is, D b2 – 4ac. If D x26gt; 0, then the equation has two real and distinct roots. If D x26lt; 0, the equation has two complex roots.
• Sum of the roots -b/a.
• Product of the roots c/a.