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Removing the variable's exponent
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$\sqrt{\left(3x-5\right)^2}=\pm \sqrt{50}$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation (3x-5)^2=50. Removing the variable's exponent. Cancel exponents 2 and \frac{1}{2}. We need to isolate the dependent variable , we can do that by simultaneously subtracting -5 from both sides of the equation. As in the equation we have the sign \pm, this produces two identical equations that differ in the sign of the term \sqrt{50}. We write and solve both equations, one taking the positive sign, and the other taking the negative sign.