Question

Use the Quadratic Formula to solve 2x^2=5x=6. Leave your answer in radical form. Show all work!

Answer 1

`x=(-5+-i√(23) )/(4)`

Step-by-step explanation

The quadratic formula is
`x=-\frac{-b+-\sqrt{bx^(2 -4ac) } }{2a}`

Answer 2

-5 ± sqrt(73))

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4

Explanation:

2x^2 +5x =6

Subtract 6 from each side

2x^2 +5x -6 =0

This is in the form

ax^2 +bx+c where a=2 b=5 and c=-6

The quadratic is -b ± sqrt(b^2 -4ac)

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2a

-5 ± sqrt(5^2 -4(2)(-6))

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2(2)

-5 ±sqrt(25 +48))

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4

-5 ± sqrt(73))

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4