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4x(2)=5(5x)
We move all terms to the left:
4x(2)-(5(5x))=0
determiningTheFunctionDomain 4x2-55x=0
We add all the numbers together, and all the variables
4x^2-55x=0
a = 4; b = -55; c = 0;
Δ = b2-4ac
Δ = -552-4·4·0
Δ = 3025
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{3025}=55$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-55)-55}{2*4}=\frac{0}{8} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-55)+55}{2*4}=\frac{110}{8} =13+3/4 $
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