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7x*7x+8x+1=4
We move all terms to the left:
7x*7x+8x+1-(4)=0
We add all the numbers together, and all the variables
8x+7x*7x-3=0
Wy multiply elements
49x^2+8x-3=0
a = 49; b = 8; c = -3;
Δ = b2-4ac
Δ = 82-4·49·(-3)
Δ = 652
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{652}=\sqrt{4*163}=\sqrt{4}*\sqrt{163}=2\sqrt{163}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-2\sqrt{163}}{2*49}=\frac{-8-2\sqrt{163}}{98} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+2\sqrt{163}}{2*49}=\frac{-8+2\sqrt{163}}{98} $
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