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Use completing the square to solve the quadraic equation. Show your work using completing the square. -4x² + 9x + 10 = 0​

User Ilw
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1 Answer

3 votes

Answer:


x = (9)/(8) \pm (√(241))/(8)

Explanation:


x^2 + (9)/(-4)x + (81)/(64)= (5)/(2) + (81)/(64)


(-4x^2)/(-4) + (9x)/(-4) = (-10)/(-4)


x^2 + (9)/(-4)x + (81)/(64) = (5)/(2) + (81)/(64)


(x - (9)/(8))^2 = (241)/(64)


x - (9)/(8) = \pm\sqrt{(241)/(64)}


x = (9)/(8) \pm (√(241))/(8)

User Dergyll
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