Solve. 9+7x=7x^(2) Choose 1 answer: (A) x=(-3+-2sqrt6)/(-3) (B) x=-1,(7)/(10) (C) x=(1+-sqrt57)/(-8) (D) x=(-7+-sqrt301)/(-14)

Quadratic Equation in Standard Form: Now, we have the quadratic equation in standard form: 0 = 7x^2 - 7x - 9 We can attempt to factor this equation, but it does not factor nicely. Therefore, we will use the quadratic formula to find the solutions for x. The quadratic formula is: x = (-b ± √(b^2 - 4ac)) / (2a) where a = 7, b = -7, and c = -9.Quadratic Formula: Let's calculate the discriminant (b^2 - 4ac) first: Discriminant = (-7)^2 - 4 * 7 * (-9) Discriminant = 49 + 252 Discriminant = 301Calculate Discriminant: Now that we have the discriminant, we can plug it into the quadratic formula: x = (-(-7) ± √(301)) / (2 * 7) x = (7 ± √(301)) / 14Plug into Quadratic Formula: We can simplify this to get the two possible solutions for x: x = (7 + √(301)) / 14 or x = (7 - √(301)) / 14 These are the solutions to the quadratic equation.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve.

9+7x=7x^(2)
Choose 1 answer:
(A)
x=(-3+-2sqrt6)/(-3)
(B)
x=-1,(7)/(10)
(C)
x=(1+-sqrt57)/(-8)
(D)
x=(-7+-sqrt301)/(-14)

Solve. $\newline$ $9+7 x=7 x^{2}$ $\newline$ Choose $1$ answer: $\newline$ (A) $x=\frac{-3 \pm 2 \sqrt{6}}{-3}$ $\newline$ (B) $x=-1, \frac{7}{10}$ $\newline$ (C) $x=\frac{1 \pm \sqrt{57}}{-8}$ $\newline$ (D) $x=\frac{-7 \pm \sqrt{301}}{-14}$

View step-by-step help

Home

Math Problems

Algebra 2

Solve a quadratic equation using the quadratic formula

Full solution

Q. Solve.

\newline

9+7 x=7 x^{2}

\newline

Choose

1

answer:

\newline

(A)

x=\frac{-3 \pm 2 \sqrt{6}}{-3}

\newline

(B)

x=-1, \frac{7}{10}

\newline

(C)

x=\frac{1 \pm \sqrt{57}}{-8}

\newline

(D)

x=\frac{-7 \pm \sqrt{301}}{-14}

Quadratic Equation in Standard Form: Now, we have the quadratic equation in standard form: $\newline$ $0 = 7x^2 - 7x - 9$ $\newline$ We can attempt to factor this equation, but it does not factor nicely. Therefore, we will use the quadratic formula to find the solutions for $x$ . The quadratic formula is: $\newline$ $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ $\newline$ where $a = 7$ , $b = -7$ , and $c = -9$ .
Quadratic Formula: Let's calculate the discriminant $b^2 - 4ac$ first: $\newline$ Discriminant = $(-7)^2 - 4 \times 7 \times (-9)$ $\newline$ Discriminant = $49 + 252$ $\newline$ Discriminant = $301$
Calculate Discriminant: Now that we have the discriminant, we can plug it into the quadratic formula: $\newline$ $x = \frac{-(-7) \pm \sqrt{301}}{2 \times 7}$ $\newline$ $x = \frac{7 \pm \sqrt{301}}{14}$
Plug into Quadratic Formula: We can simplify this to get the two possible solutions for $x$ : $x = \frac{7 + \sqrt{301}}{14}$ or $x = \frac{7 - \sqrt{301}}{14}$ These are the solutions to the quadratic equation.