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5(x2.95)=47.75
We move all terms to the left:
5(x2.95)-(47.75)=0
We add all the numbers together, and all the variables
5(+x2.95)-(47.75)=0
We add all the numbers together, and all the variables
5(+x2.95)-47.75=0
We multiply parentheses
5x^2-47.75=0
a = 5; b = 0; c = -47.75;
Δ = b2-4ac
Δ = 02-4·5·(-47.75)
Δ = 955
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{955}}{2*5}=\frac{0-\sqrt{955}}{10} =-\frac{\sqrt{}}{10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{955}}{2*5}=\frac{0+\sqrt{955}}{10} =\frac{\sqrt{}}{10} $
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