Solve using the quadratic formula.9h2+6h−6=0Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.h=_____ or h=_____
Q. Solve using the quadratic formula.9h2+6h−6=0Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.h=_____ or h=_____
Identify coefficients: Identify the coefficients a, b, and c in the quadratic equation9h2+6h−6=0.a=9, b=6, c=−6
Write quadratic formula: Write down the quadratic formula: h=2a−b±b2−4ac.
Substitute values: Substitute the values of a, b, and c into the quadratic formula.h=2(9)−(6)±(6)2−4(9)(−6)
Calculate discriminant: Calculate the discriminant (the part under the square root): b2−4ac.Discriminant = (6)2−4(9)(−6)=36+216=252
Calculate square root: Calculate the square root of the discriminant. 252=4×63=2×63
Insert back into formula: Insert the square root of the discriminant back into the formula.h=2×9−6±2×63
Simplify expression: Simplify the expression by dividing all terms by the common factor 2.h=9−3±63
Calculate possible solutions: Calculate the two possible solutions for h.h=9−3+63 or h=9−3−63
Round values: Round the values of h to the nearest hundredth, if required.h≈(9−3+7.94) or h≈(9−3−7.94)h≈94.94 or h≈9−10.94h≈0.55 or h≈−1.21
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