Solve. 6x^(2)+7x+9=11x^(2) Choose 1 answer: (A) x=1+-sqrt11 (B) x=(5+-sqrt145)/(12) (C) x=(-2+-sqrt31)/(-9) (D) x=(-7+-sqrt229)/(-10)

Combine like terms: Now, combine like terms to simplify the equation. -5x^2 + 7x + 9 = 0Use quadratic formula: Next, we will use the quadratic formula to solve for x, which is x = (-b ± √(b^2 - 4ac)) / (2a). Here, a = -5, b = 7, and c = 9.Calculate discriminant: Calculate the discriminant (b^2 - 4ac). Discriminant = 7^2 - 4(-5)(9) Discriminant = 49 + 180 Discriminant = 229Substitute values into formula: Now, substitute the values of a, b, and the discriminant into the quadratic formula. x = (-7 ± √229) / (2 * -5)Simplify expression: Simplify the expression. x = (-7 ± √229) / -10Match answer choice: This matches one of the given answer choices, which is (D) x = (-7 ± √229) / (-10).

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Solve.

6x^(2)+7x+9=11x^(2)
Choose 1 answer:
(A)
x=1+-sqrt11
(B)
x=(5+-sqrt145)/(12)
(C)
x=(-2+-sqrt31)/(-9)
(D)
x=(-7+-sqrt229)/(-10)

Solve. $\newline$ $6 x^{2}+7 x+9=11 x^{2}$ $\newline$ Choose $1$ answer: $\newline$ (A) $x=1 \pm \sqrt{11}$ $\newline$ (B) $x=\frac{5 \pm \sqrt{145}}{12}$ $\newline$ (C) $x=\frac{-2 \pm \sqrt{31}}{-9}$ $\newline$ (D) $x=\frac{-7 \pm \sqrt{229}}{-10}$

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Math Problems

Algebra 2

Solve a quadratic equation using the quadratic formula

Full solution

Q. Solve.

\newline

6 x^{2}+7 x+9=11 x^{2}

\newline

Choose

1

answer:

\newline

(A)

x=1 \pm \sqrt{11}

\newline

(B)

x=\frac{5 \pm \sqrt{145}}{12}

\newline

(C)

x=\frac{-2 \pm \sqrt{31}}{-9}

\newline

(D)

x=\frac{-7 \pm \sqrt{229}}{-10}

Combine like terms: Now, combine like terms to simplify the equation. $-5x^2 + 7x + 9 = 0$
Use quadratic formula: Next, we will use the quadratic formula to solve for x, which is $x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}$ . Here, $a = -5$ , $b = 7$ , and $c = 9$ .
Calculate discriminant: Calculate the discriminant $b^2 - 4ac$ . $\newline$ Discriminant = $7^2 - 4(-5)(9)$ $\newline$ Discriminant = $49 + 180$ $\newline$ Discriminant = $229$
Substitute values into formula: Now, substitute the values of $a$ , $b$ , and the discriminant into the quadratic formula. $x = \frac{{-7 \pm \sqrt{229}}}{{2 \cdot (-5)}}$
Simplify expression: Simplify the expression. $x = \frac{{-7 \pm \sqrt{229}}}{{-10}}$
Match answer choice: This matches one of the given answer choices, which is (D) $x = \frac{{-7 \pm \sqrt{229}}}{{-10}}$ .