Solve using the quadratic formula.5u2+7u−6=0Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.u=_____ or u=_____
Q. Solve using the quadratic formula.5u2+7u−6=0Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.u=_____ or u=_____
Identify coefficients: Identify the coefficients a, b, and c in the quadratic equation5u2+7u−6=0.a=5, b=7, c=−6
Write quadratic formula: Write down the quadratic formula: u=2a−b±b2−4ac.
Substitute values: Substitute the values of a, b, and c into the quadratic formula.u=2⋅5−(7)±(7)2−4⋅5⋅(−6)
Simplify discriminant: Simplify the expression under the square root (the discriminant). (7)2−4⋅5⋅(−6)=49+120=169
Calculate square root: Calculate the square root of the discriminant. 169=13
Substitute back: Substitute the square root back into the quadratic formula. u=2×5−7±13
Calculate solutions: Calculate the two possible solutions for u.u=10−7+13 or u=10−7−13u=106 or u=10−20
Simplify fractions: Simplify the fractions to their simplest form. u=53 or u=−2
Round solutions: If necessary, round the solutions to the nearest hundredth. u=0.60 or u=−2.00
More problems from Solve a quadratic equation using the quadratic formula