Solve each equation by using the Quadratic Formula.

1. 4x^2 - 9 = -7x - 4 (Wasn't sure about this one)

4x^2 - 9 = -7x - 4

4x^2 + 7x - 9 + 4 = 0

4x^2 + 7x - 5 = 0

x = (-b +(or) - root b^2 - 4ac)/2a

Here a = 4, b = 7 and c = -5

x = [-7 + or - root 7^2 - 4*4*(-5)] / 2*4

= [-7 + or - root (49 + 80)] / 8

= (-7+ or - root 129) / 8

= (-7 + 11.36) / 8 or (-7 - 11.36) /8

= 4.36 / 8 or -18.36 / 8

Therefore x = 0.55 or x = - 2.29

Thank you for the help!

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