2.7x^2=1x^2+24.2

Solution for 2.7x^2=1x^2+24.2 equation:

2.7x^2=1x^2+24.2

We move all terms to the left:

2.7x^2-(1x^2+24.2)=0

We get rid of parentheses

2.7x^2-1x^2-24.2=0

We add all the numbers together, and all the variables

1.7x^2-24.2=0

a = 1.7; b = 0; c = -24.2;
Δ = b2-4ac
Δ = 02-4·1.7·(-24.2)
Δ = 164.56
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{-(0)-\sqrt{164.56}}{2*1.7}=\frac{0-\sqrt{164.56}}{3.4}
=-\frac{\sqrt{}}{3.4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{164.56}}{2*1.7}=\frac{0+\sqrt{164.56}}{3.4}
=\frac{\sqrt{}}{3.4}
$