49x^2-70+25=0

Solution for 49x^2-70+25=0 equation:

49x^2-70+25=0

We add all the numbers together, and all the variables

49x^2-45=0

a = 49; b = 0; c = -45;
Δ = b2-4ac
Δ = 02-4·49·(-45)
Δ = 8820
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{8820}=\sqrt{1764*5}=\sqrt{1764}*\sqrt{5}=42\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-42\sqrt{5}}{2*49}=\frac{0-42\sqrt{5}}{98}
=-\frac{42\sqrt{5}}{98}
=-\frac{3\sqrt{5}}{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+42\sqrt{5}}{2*49}=\frac{0+42\sqrt{5}}{98}
=\frac{42\sqrt{5}}{98}
=\frac{3\sqrt{5}}{7}
$