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3.5*3.5=2x*2x
We move all terms to the left:
3.5*3.5-(2x*2x)=0
We add all the numbers together, and all the variables
-(+2x*2x)+3.5*3.5=0
We add all the numbers together, and all the variables
-(+2x*2x)+12.25=0
We get rid of parentheses
-2x*2x+12.25=0
Wy multiply elements
-4x^2+12.25=0
a = -4; b = 0; c = +12.25;
Δ = b2-4ac
Δ = 02-4·(-4)·12.25
Δ = 196
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{196}=14$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-14}{2*-4}=\frac{-14}{-8} =1+3/4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+14}{2*-4}=\frac{14}{-8} =-1+3/4 $
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