find the value of 2x^2 if 5^2x+1รท25=125
You asked:
Given \({5}^{2} x + \frac{1}{25} = 125\) evaluate the expression \(2 {x}^{2}\).
MathBot Answer:
\[2 x^{2} = \frac{19518752}{390625}\]
\[\begin{aligned}25 x + \frac{1}{25} &= 125\\25 x &= \frac{3124}{25}\\x &= \frac{3124}{625}\end{aligned}\]
By substituting this value into the expression, we find that: $$\begin{aligned}2 x^{2} &= 2 \left(\frac{3124}{625}\right)^{2}\\&= \frac{19518752}{390625}\end{aligned}$$