What are the roots of x2 2x 4?

What are the roots of x2 2x 4?

Answer: The quadratic equations x2 + 2x 4 0 and x2 2x 4 0 have the real solutions. If the roots are real then the equation has the real roots, if the roots are imaginary, then the equation has no real roots.

How do you complete the square x 2 2x 4?

2.3 Solving x2-2x-4 0 by the Quadratic Formula .

How do you find roots of an equation?

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.

What are the 2 roots of an equation?

The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) 0, and solve the equation, ax2 + bx + c 0.

What is the type of equation of X² 2x 4 0?

2.3 Solving x2-2x-4 0 by the Quadratic Formula .

What are the roots of quadratic equation 2?

A quadratic equation has only two roots. Now we can clearly see that the equation ax2 + bx + c 0 reduces to (x – u03b1)(x – u03b2) 0 and the equation ax2 + bx + c 0 is only satisfied by the values x u03b1 and x u03b2.

What should be added to X² 2x 4 in order to find the solution by completing the square?

Steps

  • Step 1 Divide all terms by a (the coefficient of x2).
  • Step 2 Move the number term (c/a) to the right side of the equation.
  • Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

How do you complete the square X method?

Complete the square formula In mathematics, completing the square is used to compute quadratic polynomials. Completing the Square Formula is given as: ax2 + bx + c u21d2 (x + p)2 + constant. The quadratic formula is derived using a method of completing the square. Let’s see.

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