Use the quadratic formula to solve the quadratic equation. Check your solutions by using the sum and product relationships. Match each of the equations with the number to obtain a true statement.
-$\frac { - 1 \pm \sqrt { 129 } } { 16 }$
A) $- y ^ { 2 } + 17 y = 8$
B) $8 x ^ { 2 } + x - 4 = 0$
C) $16 x ^ { 2 } + 2 x + 1 = 0$
D) $7 x ^ { 2 } - 2 x + 9 = 0$

Question

Use the quadratic formula to solve the quadratic equation. Check your solutions by using the sum and product relationships. Match each of the equations with the number to obtain a true statement.
-$\frac { - 1 \pm \sqrt { 129 } } { 16 }$ 
A) $- y ^ { 2 } + 17 y = 8$ 
B) $8 x ^ { 2 } + x - 4 = 0$ 
C) $16 x ^ { 2 } + 2 x + 1 = 0$ 
D) $7 x ^ { 2 } - 2 x + 9 = 0$

Quizplus · Accepted Answer

The given solution $\frac { - 1 \pm \sqrt { 129 } } { 16 }$ matches the quadratic formula $\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. For choice B, $8x^2 + x - 4 = 0$, $a = 8$, $b = 1$, and $c = -4$. Substituting these values into the quadratic formula gives the solution $\frac { - 1 \pm \sqrt { 1^2 - 4(8)(-4) } } { 2(8) } = \frac { - 1 \pm \sqrt { 129 } } { 16 }$, which matches the given solution.

Use the Quadratic Formula to Solve the Quadratic Equation −1±12916\frac { - 1 \pm \sqrt { 129 } } { 16 }16−1±129​​

Use the Quadratic Formula to Solve the Quadratic Equation $\frac { - 1 \pm \sqrt { 129 } } { 16 }$