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x2=25/784
We move all terms to the left:
x2-(25/784)=0
We add all the numbers together, and all the variables
x2-(+25/784)=0
We add all the numbers together, and all the variables
x^2-(+25/784)=0
We get rid of parentheses
x^2-25/784=0
We multiply all the terms by the denominator
x^2*784-25=0
Wy multiply elements
784x^2-25=0
a = 784; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·784·(-25)
Δ = 78400
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{78400}=280$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-280}{2*784}=\frac{-280}{1568} =-5/28 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+280}{2*784}=\frac{280}{1568} =5/28 $
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