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Solve for x. Enter the solutions from least to greatest. 3x^(2)+4=436 lesser x= greater x=

Solve for x x .\newlineEnter the solutions from least to greatest.\newline3x2+4=436 3 x^{2}+4=436 \newlinelesser x= x= \newlinegreater x= x=

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Full solution

Q. Solve for x x .\newlineEnter the solutions from least to greatest.\newline3x2+4=436 3 x^{2}+4=436 \newlinelesser x= x= \newlinegreater x= x=
  1. Isolate quadratic term: First, we need to isolate the quadratic term by subtracting 44 from both sides of the equation.\newline3x2+4−4=436−43x^2 + 4 - 4 = 436 - 4\newline3x2=4323x^2 = 432
  2. Divide by 33: Next, we divide both sides of the equation by 33 to solve for x2x^2.\newline3x23=4323\frac{3x^2}{3} = \frac{432}{3}\newlinex2=144x^2 = 144
  3. Take square root: Now, we take the square root of both sides to solve for x. Remember that taking the square root gives us both a positive and a negative solution.\newlinex2=±144\sqrt{x^2} = \pm\sqrt{144}\newlinex=±12x = \pm12
  4. List solutions: We have two solutions for x, which are x=12x = 12 and x=−12x = -12. We need to list them from least to greatest.\newlinelesser x=−12x = -12\newlinegreater x=12x = 12

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