Solve using the quadratic formula.4u2+6u−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.4u2+6u−6=0Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.u=_____ or u=_____
Identify values of a, b, c: Identify the values of a, b, and c from the quadratic equation4u2+6u−6=0. Compare 4u2+6u−6=0 with the standard form ax2+bx+c=0. a=4b0b1
Substitute values into quadratic formula: Substitute the values of a, b, and c into the quadratic formula u=2a−b±b2−4ac. Substitute a=4, b=6, and c=−6 into the formula. u=2⋅4−(6)±(6)2−4⋅4⋅(−6)u=8−6±36+96
Simplify expression and calculate discriminant: Simplify the expression under the square root and calculate the discriminant.36+96 = 132
Continue with quadratic formula: Continue with the quadratic formula using the simplified discriminant.u=8−6±132Calculate the two possible solutions for u.u=8−6+132 or u=8−6−132
Simplify solutions and round: Simplify the solutions and round to the nearest hundredth if necessary.u=8−6+132 or u=8−6−132u≈8−6+11.49 or u≈8−6−11.49u≈85.49 or u≈8−17.49u≈0.69 or u≈−2.19
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