Question

Solve by using the quadratic equation: 2x²-4x=9

My answer got down to 4±4√22/4 and I simplified it to1±√22.

Answer 1

x = { 1 + 2√22, 1 - 2√22}

Explanation:

The quadratic equation:

x = (-b ±
`\sqrt{b^(2) - 4ac}`)/2a

x = (4 ± √(16-4(2)(-9))/2(2)

(Also, I'm assuming =9 meant -9, but either way, it wouldn't make a difference)

x = (4 ± √(16+72))/4

x = (4 ± √88)/4

x = 1 ± 2√22

x = { 1 + 2√22, 1 - 2√22}

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