-81x^(2)=-11 What are the solutions to the given equation? Choose 1 answer: (A) x=(sqrt11)/(81) B x=-(sqrt11)/(81) and x=(sqrt11)/(81) (C) x=-(sqrt11)/(9) and x=(sqrt11)/(9) (D) x=(sqrt11)/(9)

Question Prompt: question_prompt: ＂What are the solutions to the given equation -81x^(2)=-11?＂ Step 1: Step 1: Divide both sides of the equation by -81 to isolate x^2. So, x^2 = -11/-81. Step 2: Step 2: Simplify the right side of the equation. x^2 = 11/81. Step 3: Step 3: Take the square root of both sides to solve for x. Remember, there are two solutions: x = sqrt(11/81) and x = -sqrt(11/81). Step 4: Step 4: Simplify the square root. sqrt(11/81) is the same as sqrt(11)/sqrt(81). Step 5: Step 5: Since sqrt(81) is 9, we get x = sqrt(11)/9 and x = -sqrt(11)/9.

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-81x^(2)=-11
What are the solutions to the given equation?
Choose 1 answer:
(A)
x=(sqrt11)/(81)
B
x=-(sqrt11)/(81) and
x=(sqrt11)/(81)
(C)
x=-(sqrt11)/(9) and
x=(sqrt11)/(9)
(D)
x=(sqrt11)/(9)

$-81 x^{2}=-11$ $\newline$ What are the solutions to the given equation? $\newline$ Choose $1$ answer: $\newline$ (A) $x=\frac{\sqrt{11}}{81}$ $\newline$ (B) $x=-\frac{\sqrt{11}}{81}$ and $x=\frac{\sqrt{11}}{81}$ $\newline$ (C) $x=-\frac{\sqrt{11}}{9}$ and $x=\frac{\sqrt{11}}{9}$ $\newline$ (D) $x=\frac{\sqrt{11}}{9}$

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Math Problems

Algebra 2

Solve a quadratic equation using the zero product property

Full solution

-81 x^{2}=-11

\newline

What are the solutions to the given equation?

\newline

Choose

1

answer:

\newline

(A)

x=\frac{\sqrt{11}}{81}

\newline

(B)

x=-\frac{\sqrt{11}}{81}

and

x=\frac{\sqrt{11}}{81}

\newline

(C)

x=-\frac{\sqrt{11}}{9}

and

x=\frac{\sqrt{11}}{9}

\newline

(D)

x=\frac{\sqrt{11}}{9}

Question Prompt: question_prompt: ＂What are the solutions to the given equation $-81x^{2}=-11$ ?＂
Step $1$ : Step $1$ : Divide both sides of the equation by $-81$ to isolate $x^2$ . So, $x^2 = -11/-81$ .
Step $2$ : Step $2$ : Simplify the right side of the equation. $x^2 = \frac{11}{81}$ .
Step $3$ : Step $3$ : Take the square root of both sides to solve for $x$ . Remember, there are two solutions: $x = \sqrt{\frac{11}{81}}$ and $x = -\sqrt{\frac{11}{81}}$ .
Step $4$ : Step $4$ : Simplify the square root. $\sqrt{\frac{11}{81}}$ is the same as $\sqrt{11}/\sqrt{81}$ .
Step $5$ : Step $5$ : Since $\sqrt{81}$ is $9$ , we get $x = \frac{\sqrt{11}}{9}$ and $x = -\frac{\sqrt{11}}{9}$ .