3x^2-25/7-x=0

Solution for 3x^2-25/7-x=0 equation:

3x^2-25/7-x=0

We add all the numbers together, and all the variables

3x^2-1x-25/7=0

We multiply all the terms by the denominator


3x^2*7-1x*7-25=0

Wy multiply elements

21x^2-7x-25=0

a = 21; b = -7; c = -25;
Δ = b2-4ac
Δ = -72-4·21·(-25)
Δ = 2149
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-\sqrt{2149}}{2*21}=\frac{7-\sqrt{2149}}{42}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{2149}}{2*21}=\frac{7+\sqrt{2149}}{42}
$