x*1.16x=10890

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Solution for x*1.16x=10890 equation:



x*1.16x=10890
We move all terms to the left:
x*1.16x-(10890)=0
Wy multiply elements
x^2-10890=0
a = 1; b = 0; c = -10890;
Δ = b2-4ac
Δ = 02-4·1·(-10890)
Δ = 43560
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:
$\sqrt{\Delta}=\sqrt{43560}=\sqrt{4356*10}=\sqrt{4356}*\sqrt{10}=66\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-66\sqrt{10}}{2*1}=\frac{0-66\sqrt{10}}{2} =-\frac{66\sqrt{10}}{2} =-33\sqrt{10} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+66\sqrt{10}}{2*1}=\frac{0+66\sqrt{10}}{2} =\frac{66\sqrt{10}}{2} =33\sqrt{10} $

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