4x2-14x-10=0

Solution for 4x2-14x-10=0 equation:

4x^2-14x-10=0

a = 4; b = -14; c = -10;
Δ = b2-4ac
Δ = -142-4·4·(-10)
Δ = 356
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:

$\sqrt{\Delta}=\sqrt{356}=\sqrt{4*89}=\sqrt{4}*\sqrt{89}=2\sqrt{89}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-2\sqrt{89}}{2*4}=\frac{14-2\sqrt{89}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+2\sqrt{89}}{2*4}=\frac{14+2\sqrt{89}}{8}
$