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21y-8y(2)=6y*1-10
We move all terms to the left:
21y-8y(2)-(6y*1-10)=0
We add all the numbers together, and all the variables
-8y^2+21y-(6y*1-10)=0
We get rid of parentheses
-8y^2+21y-6y*1+10=0
Wy multiply elements
-8y^2+21y-6y+10=0
We add all the numbers together, and all the variables
-8y^2+15y+10=0
a = -8; b = 15; c = +10;
Δ = b2-4ac
Δ = 152-4·(-8)·10
Δ = 545
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-\sqrt{545}}{2*-8}=\frac{-15-\sqrt{545}}{-16} $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{545}}{2*-8}=\frac{-15+\sqrt{545}}{-16} $
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