Question

Solve by completing the square 2x^2-12x-20=0

Answer 1

The square of the equation 2$x^{2}$ – 12x – 20=0 is

What is a quadratic equation?

A quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0.

a$x^{2}$+bx+c , a, b, c are integers .

formula: −b±√b2−4ac/2a

Given equation ,

2$x^{2}$ -12x-20=0

By comparing with the quadratic equation

Here, a=2, b= -12, c= -20.

X=−b±$\sqrt{b^2-4ac}$/2a

X= -(-12) + $\sqrt{(-12)2-4(2)(20)}$ /2(2)

X=12+-  $\sqrt{144-160}$/4

X=12+- $\sqrt{-16}$/4,

X=12+- (-4)/4

X=12+(-4)/4 and x=12-(-4)/4

X= 12-4/4 and x=12+4/4

X=8/4 and x= 16/4

X=2 and x= 4

Therefore, the square of the equation 2x2-12x-20=0 is x= 2 and x=4.

To know more about the quadratic equations visit:

brainly.com/question/17177510

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