Solve. 3x^(2)+1-7x=13x^(2) Choose 1 answer: (A) x=(2+-sqrt29)/(5) (B) x=(7+-sqrt89)/(-20) (C) x=(-3+-sqrt105)/(-12) (D) x=(-1+-sqrt73)/(9)

Combine like terms: Now, combine like terms to simplify the equation. -10x^2 - 7x + 1 = 0 This is now a quadratic equation in standard form.Use quadratic formula: Next, we will use the quadratic formula to solve for x, where a = -10, b = -7, and c = 1. The quadratic formula is x = (-b ± sqrt(b^2 - 4ac)) / (2a).Substitute values: Substitute the values of a, b, and c into the quadratic formula. x = (-(-7) ± sqrt((-7)^2 - 4(-10)(1))) / (2(-10)) x = (7 ± sqrt(49 + 40)) / (-20)Simplify square root: Simplify the expression under the square root. x = (7 ± sqrt(89)) / (-20)Find possible solutions: Now we have the two possible solutions for x. x = (7 + sqrt(89)) / (-20) or x = (7 - sqrt(89)) / (-20) These correspond to answer choice (B).

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3x^(2)+1-7x=13x^(2)
Choose 1 answer:
(A)
x=(2+-sqrt29)/(5)
(B)
x=(7+-sqrt89)/(-20)
(C)
x=(-3+-sqrt105)/(-12)
(D)
x=(-1+-sqrt73)/(9)

Solve. $\newline$ $3 x^{2}+1-7 x=13 x^{2}$ $\newline$ Choose $1$ answer: $\newline$ (A) $x=\frac{2 \pm \sqrt{29}}{5}$ $\newline$ (B) $x=\frac{7 \pm \sqrt{89}}{-20}$ $\newline$ (C) $x=\frac{-3 \pm \sqrt{105}}{-12}$ $\newline$ (D) $x=\frac{-1 \pm \sqrt{73}}{9}$

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Math Problems

Algebra 2

Solve a quadratic equation using the quadratic formula

Full solution

Q. Solve.

\newline

3 x^{2}+1-7 x=13 x^{2}

\newline

Choose

1

answer:

\newline

(A)

x=\frac{2 \pm \sqrt{29}}{5}

\newline

(B)

x=\frac{7 \pm \sqrt{89}}{-20}

\newline

(C)

x=\frac{-3 \pm \sqrt{105}}{-12}

\newline

(D)

x=\frac{-1 \pm \sqrt{73}}{9}

Combine like terms: Now, combine like terms to simplify the equation. $\newline$ $-10x^2 - 7x + 1 = 0$ $\newline$ This is now a quadratic equation in standard form.
Use quadratic formula: Next, we will use the quadratic formula to solve for $x$ , where $a = -10$ , $b = -7$ , and $c = 1$ . The quadratic formula is $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ .
Substitute values: Substitute the values of $a$ , $b$ , and $c$ into the quadratic formula. $x = \frac{-(-7) \pm \sqrt{(-7)^2 - 4(-10)(1)}}{2(-10)}$ $x = \frac{7 \pm \sqrt{49 + 40}}{-20}$
Simplify square root: Simplify the expression under the square root. $x = \frac{7 \pm \sqrt{89}}{-20}$
Find possible solutions: Now we have the two possible solutions for $x$ . $x = \frac{7 + \sqrt{89}}{-20}$ or $x = \frac{7 - \sqrt{89}}{-20}$ These correspond to answer choice (B).