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Use the discriminant to determine how many and what kind of solutions the quadratic equation 2x^2 - 4x = -2 has.

Sagot :

oluwaseunfunmi

Answer:

We can use three solution and they are

(1)completing the square

(2)quadratic formula

(3) factorisation method

The quadratic equation 2x^2 - 4x = -2 has  two values .

What is quadratic equation ?

  • According to our definition, a quadratic equation is one with degree 2, implying that its maximum exponent is 2.
  • A quadratic has the standard form y = ax2 + bx + c, where a, b, and c are all numbers and a cannot be zero.
  • All of these are examples of quadratic equations: y = x^2 + 3x + 1.

Kind of solutions -

   (1)completing the square

   (2)quadratic formula

   (3) factorization method

Given,

           quadratic equation 2x^2 - 4x = -2

                   2x² - 4x + 2 =0

Now solve this equation by factor,

                    2x² - 4x + 2 = 0

                    2x² - ( 2+2)x +2 = 0

                    2x² - 2x -2x + 2 = 0

                    2x(x- 1 ) -2 ( x -1) = 0

                    (2x - 2) ( x- 1) =0

                  2x - 2 = 0   or  x - 1 = 0

                   x = 1 or x = 1

So, this equation has 2 value of x.

Learn more about quadratic equation brainly.com/question/2263981 here

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