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7*7+10*10=x*x
We move all terms to the left:
7*7+10*10-(x*x)=0
We add all the numbers together, and all the variables
-(+x*x)+7*7+10*10=0
We add all the numbers together, and all the variables
-(+x*x)+149=0
We get rid of parentheses
-x*x+149=0
Wy multiply elements
-1x^2+149=0
a = -1; b = 0; c = +149;
Δ = b2-4ac
Δ = 02-4·(-1)·149
Δ = 596
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{596}=\sqrt{4*149}=\sqrt{4}*\sqrt{149}=2\sqrt{149}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{149}}{2*-1}=\frac{0-2\sqrt{149}}{-2} =-\frac{2\sqrt{149}}{-2} =-\frac{\sqrt{149}}{-1} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{149}}{2*-1}=\frac{0+2\sqrt{149}}{-2} =\frac{2\sqrt{149}}{-2} =\frac{\sqrt{149}}{-1} $
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