Determine the next step for solving the quadratic equation by completing the square.

0 = –2x2 + 2x + 3
–3 = –2x2 + 2x
–3 = –2(x2 – x)
–3 +
= –2(x2 – x +
)
StartFraction negative 7 Over 2 EndFraction = –2(x – StartFraction 1 Over 2 EndFraction)2
StartFraction 7 Over 4 EndFraction = (x – StartFraction 1 Over 2 EndFraction)2
The two solutions are
Plus or minus StartFraction StartRoot 7 EndRoot Over 2 EndFraction.

Respuesta :

The next step for solving the quadratic equation by completing the square is -2(x-0.5)²=-3.50.

What exactly is a quadratic equation?

It is a polynomial with a value of zero. There exist variable power polynomials with terms of 2, 1, and 0. Any

Given equation;

0 = –2x²+ 2x + 3

Rearrange the equation as;

(–2x²+ 2x)=-3

-2(x²-x)=-3

Subtract 0.50 from both sides;

-2*(x²-x+0.25)=-3-0.50

The perfect square is found as;

⇒(x²-x+0.25)=(x-0.5)²

-2(x-0.5)²=-3.50

(x-0.5)²=-3.50/-2

(x-0.5)²=1.75

(x-0.5)=±1.32

x=1.823

x=-0.823

Hence,the next step for solving the quadratic equation by completing the square is -2(x-0.5)²=-3.50.

To learn more about the quadratic equation, the link is given below.

https://brainly.com/question/2263981

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