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10(x*x)+16x-21=0
We add all the numbers together, and all the variables
10(+x*x)+16x-21=0
We add all the numbers together, and all the variables
16x+10(+x*x)-21=0
We multiply parentheses
10x^2+16x-21=0
a = 10; b = 16; c = -21;
Δ = b2-4ac
Δ = 162-4·10·(-21)
Δ = 1096
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1096}=\sqrt{4*274}=\sqrt{4}*\sqrt{274}=2\sqrt{274}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-2\sqrt{274}}{2*10}=\frac{-16-2\sqrt{274}}{20} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+2\sqrt{274}}{2*10}=\frac{-16+2\sqrt{274}}{20} $
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