Final Answer
$x=2.444716,\:x=-2.405187$
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Step-by-step Solution
Problem to solve:
$2125x^2-84x-12495=0$
Specify the solving method
1
Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($2125$) to all terms
$2125\left(x^2-\frac{10}{253}x-\frac{147}{25}\right)=0$
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$2125\left(x^2-\frac{10}{253}x-\frac{147}{25}\right)=0$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 2125x^2-84x-12495=0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (2125) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-\frac{10}{253}xx+0.000391. Subtract the values -\frac{147}{25} and -0.000391.
Final Answer
$x=2.444716,\:x=-2.405187$