Final Answer
$x=3.602325,\:x=-13.602325$
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Step-by-step Solution
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1
Factor the polynomial $x^2+10x$. Add and subtract $\left(\frac{b}{2}\right)^2$, replacing $b$ by it's value $10$
$x^2+10x+25-25=49$
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$x^2+10x+25-25=49$
Learn how to solve differential calculus problems step by step online. Solve the quadratic equation x^2+10x=49. Factor the polynomial x^2+10x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value 10. Now, we can factor x^2+10x+25 as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. The square root of 25 is . We need to isolate the dependent variable , we can do that by simultaneously subtracting -25 from both sides of the equation.
Final Answer
$x=3.602325,\:x=-13.602325$