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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 x .\newlineEnter the solutions from least to greatest.\newline−4x2−7=−11 -4 x^{2}-7=-11 \newlinelesser x= x= \newlinegreater x= x=

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Full solution

Q. Solve for x x .\newlineEnter the solutions from least to greatest.\newline−4x2−7=−11 -4 x^{2}-7=-11 \newlinelesser x= x= \newlinegreater x= x=
  1. Rewrite and isolate x2x^2 term: First, let's rewrite the equation and isolate the x2x^2 term.\newline−4x2−7=−11-4x^2 - 7 = -11\newlineAdd 77 to both sides to isolate the x2x^2 term.\newline−4x2=−11+7-4x^2 = -11 + 7\newline−4x2=−4-4x^2 = -4
  2. Divide both sides by −4-4: Now, divide both sides by −4-4 to solve for x2x^2.x2=−4−4x^2 = \frac{-4}{-4}x2=1x^2 = 1
  3. Take square root of both sides: To find the values of x 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.\newlinex=±1 x = \pm\sqrt{1} \newlinex=±1 x = \pm1
  4. List solutions from least to greatest: List the solutions from least to greatest.\newlinelesser x=−1x = -1\newlinegreater x=1x = 1

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