# How many roots can a quadratic function have?

two

## Can a quadratic equation have more than 2 roots?

u03b1 and u03b3 are distinct. Thus, a(u03b1 – u03b3) 0 cannot be true. Therefore, our assumption that a quadratic equation has three distinct real roots is wrong. Hence, every quadratic equation cannot have more than 2 roots

## Can a quadratic have 4 roots?

As a quadratic function can only intercept the x-axis twice, it cannot have more than two roots.

## How many real roots does a quadratic equation have?

2 Answers By Expert Tutors There are as many roots as the highest exponent in the equation. A quadratic equation of the form ax2+bx+c can have zero, one, or two distinct real roots; This is because the roots can be either real, complex or one root with multiplicity two. b2-4ac.

two

## What is the maximum number of roots a quadratic can have?

u03b1 and u03b3 are distinct. Thus, a(u03b1 – u03b3) 0 cannot be true. Therefore, our assumption that a quadratic equation has three distinct real roots is wrong. Hence, every quadratic equation cannot have more than 2 roots

## How many roots can a quadratic equation have?

As a quadratic function can only intercept the x-axis twice, it cannot have more than two roots.

two

## Can quadratic equation have 3 solutions?

A quadratic equation can’t have 3 solutions in the real numbers, or even the complex numbers.

## Can quadratic equation have 4 roots?

Actually, a quadratic equation has only two roots. Often, the word root ‘quad-‘misleads the beginners to think it might have four roots(as for ‘quadrilateral’which has four sides). Such an equation has exactly two roots which can be real or equal, real or distinct or complex conjugates of each other.

## Can a quadratic equation have 4 solutions?

As we have seen, there can be 0, 1, or 2 solutions to a quadratic equation, depending on whether the expression inside the square root sign, (b2 – 4ac), is positive, negative, or zero.

## How many roots can quadratics have?

Roots of Quadratic Equations and the Quadratic Formula A quadratic function is graphically represented by a parabola with vertex located at the origin, below the x-axis, or above the x-axis. Therefore, a quadratic function may have one, two, or zero roots