Final Answer
$x=90,\:x=-45$
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Step-by-step Solution
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1
Factor the polynomial $x^2-45x$. Add and subtract $\left(\frac{b}{2}\right)^2$, replacing $b$ by it's value $-45$
$x^2-45x+\frac{2025}{4}-\frac{2025}{4}=4050$
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$x^2-45x+\frac{2025}{4}-\frac{2025}{4}=4050$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^2-45x=4050. Factor the polynomial x^2-45x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value -45. Now, we can factor x^2+-45x+\frac{2025}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. The square root of \frac{2025}{4} is . Multiply -1 times \frac{45}{2}.
Final Answer
$x=90,\:x=-45$