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9=48+-4.9x^2
We move all terms to the left:
9-(48+-4.9x^2)=0
We use the square of the difference formula
-(48-4.9x^2)+9=0
We get rid of parentheses
4.9x^2-48+9=0
We add all the numbers together, and all the variables
4.9x^2-39=0
a = 4.9; b = 0; c = -39;
Δ = b2-4ac
Δ = 02-4·4.9·(-39)
Δ = 764.4
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{764.4}}{2*4.9}=\frac{0-\sqrt{764.4}}{9.8} =-\frac{\sqrt{}}{9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{764.4}}{2*4.9}=\frac{0+\sqrt{764.4}}{9.8} =\frac{\sqrt{}}{9.8} $
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