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24x^2/5=x
We move all terms to the left:
24x^2/5-(x)=0
We add all the numbers together, and all the variables
24x^2/5-1x=0
We multiply all the terms by the denominator
24x^2-1x*5=0
Wy multiply elements
24x^2-5x=0
a = 24; b = -5; c = 0;
Δ = b2-4ac
Δ = -52-4·24·0
Δ = 25
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{25}=5$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-5}{2*24}=\frac{0}{48} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+5}{2*24}=\frac{10}{48} =5/24 $
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