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Removing the variable's exponent
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$\sqrt{\left(2y-3\right)^2}=\pm \sqrt{45}$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation (2y-3)^2=45. Removing the variable's exponent. Cancel exponents 2 and \frac{1}{2}. We need to isolate the dependent variable y, we can do that by simultaneously subtracting -3 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{45}. We write and solve both equations, one taking the positive sign, and the other taking the negative sign.