Mathematics: 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 + ) = –2(x – )2 = (x – )2 the two solutions are .

Determine the next step for solving the quadratic

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skyrileycasting

09.03.2022

Mathematics

The solutions are $x=\frac{1+\sqrt{7}}{2}$ and $x=\frac{1-\sqrt{7}}{2}$

Step-by-step explanation:

we have

$0=-2x^{2}+2x+3$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$-3=-2x^{2}+2x$

Factor the leading coefficient

$-3=-2(x^{2}-x)$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$-3-0.5=-2(x^{2}-x+0.5^{2})$

$-3.5=-2(x^{2}-x+0.5^{2})$

Rewrite as perfect squares

$-3.5=-2(x-0.5)^{2}$

$7/4=(x-0.5)^{2}$

square root both sides

$x-0.5=(+/-)\sqrt{\frac{7}{4}}$

$x-\frac{1}{2}=(+/-)\frac{\sqrt{7}}{2}$

$x=\frac{1}{2}(+/-)\frac{\sqrt{7}}{2}$

$x=\frac{1+\sqrt{7}}{2}$

$x=\frac{1-\sqrt{7}}{2}$

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Ответ:

josephjannace12

27.02.2020

Mathematics

sorry the points arent that great looking lol, I cant draw on my phone that well

Step-by-step explanation:

0 is in the middle, and there are 3 slots in between each number. the number 3/8 could also be 2 and 2/3 and its positive do it goes to the right from 0, so count two large slash mark things and then 2 small slash mark things. -11/3 can be simplified to -3 and -2/3, so we go left from 0 to graph, count 3 large slash marks going to the left and 2 small slash marks.

I'm not the best at explaining but I hope this helped:)

Ineed asap! i will give a big reward! fairly easy number line question! 6 points!

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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 + ) = –2(x – )2 = (x – )2 the two solutions are .

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