Solve for x. Enter the solutions from least to greatest. -4x^(2)-7=-11 lesser x= greater x=

Rewrite and isolate x^2 term: First, let's rewrite the equation and isolate the x^2 term. -4x^2 - 7 = -11 Add 7 to both sides to isolate the x^2 term. -4x^2 = -11 + 7 -4x^2 = -4Divide both sides by -4: Now, divide both sides by -4 to solve for x^2. x^2 = (-4) / (-4) x^2 = 1Take square root of both sides: To find the values of x, take the square root of both sides. Remember that taking the square root of a number yields two solutions: one positive and one negative. x = ±√1 x = ±1List solutions from least to greatest: List the solutions from least to greatest. lesser x = -1 greater x = 1

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Solve for
x.
Enter the solutions from least to greatest.

-4x^(2)-7=-11
lesser
x=
greater
x=

Solve for $x$ . $\newline$ Enter the solutions from least to greatest. $\newline$ $-4 x^{2}-7=-11$ $\newline$ lesser $x=$ $\newline$ greater $x=$

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Math Problems

Algebra 1

Evaluate recursive formulas for sequences

Full solution

Q. Solve for

x

\newline

Enter the solutions from least to greatest.

\newline

-4 x^{2}-7=-11

\newline

lesser

x=

\newline

greater

x=

Rewrite and isolate $x^2$ term: First, let's rewrite the equation and isolate the $x^2$ term. $\newline$ $-4x^2 - 7 = -11$ $\newline$ Add $7$ to both sides to isolate the $x^2$ term. $\newline$ $-4x^2 = -11 + 7$ $\newline$ $-4x^2 = -4$
Divide both sides by $-4$ : Now, divide both sides by $-4$ to solve for $x^2$ . $x^2 = \frac{-4}{-4}$ $x^2 = 1$
Take square root of both sides: To find the values of $x$ , take the square root of both sides. Remember that taking the square root of a number yields two solutions: one positive and one negative. $\newline$ $x = \pm\sqrt{1}$ $\newline$ $x = \pm1$
List solutions from least to greatest: List the solutions from least to greatest. $\newline$ lesser $x = -1$ $\newline$ greater $x = 1$