QuestionAugust 25, 2025

Solve using the quadratic formula: -4x^2+5x+6=0 Select the correct answer below: (-3)/(4),2 (-5pm 7)/(-8) -2,(3)/(4) (-5pm sqrt (73))/(-4) (-5pm sqrt (73))/(-8) (-5pm 11)/(-4)

Solve using the quadratic formula: -4x^2+5x+6=0 Select the correct answer below: (-3)/(4),2 (-5pm 7)/(-8) -2,(3)/(4) (-5pm sqrt (73))/(-4) (-5pm sqrt (73))/(-8) (-5pm 11)/(-4)
Solve using the quadratic formula: -4x^2+5x+6=0
Select the correct answer below:
(-3)/(4),2
(-5pm 7)/(-8)
-2,(3)/(4)
(-5pm sqrt (73))/(-4)
(-5pm sqrt (73))/(-8)
(-5pm 11)/(-4)

Solution
4.2(230 votes)

Answer

\frac{-5 \pm 11}{-8} Explanation 1. Identify coefficients a = -4, b = 5, c = 6. 2. Apply the quadratic formula Use **x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}**. 3. Calculate discriminant b^2 - 4ac = 5^2 - 4(-4)(6) = 25 + 96 = 121. 4. Compute square root of discriminant \sqrt{121} = 11. 5. Solve for x using the quadratic formula x = \frac{-5 \pm 11}{-8}.

Explanation

1. Identify coefficients<br /> $a = -4$, $b = 5$, $c = 6$.<br />2. Apply the quadratic formula<br /> Use **$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$**.<br />3. Calculate discriminant<br /> $b^2 - 4ac = 5^2 - 4(-4)(6) = 25 + 96 = 121$.<br />4. Compute square root of discriminant<br /> $\sqrt{121} = 11$.<br />5. Solve for x using the quadratic formula<br /> $x = \frac{-5 \pm 11}{-8}$.
Click to rate: