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(3/4)x-1.5=0
Domain of the equation: 4)x!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
(+3/4)x-1.5=0
We multiply parentheses
3x^2-1.5=0
a = 3; b = 0; c = -1.5;
Δ = b2-4ac
Δ = 02-4·3·(-1.5)
Δ = 18
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{18}=\sqrt{9*2}=\sqrt{9}*\sqrt{2}=3\sqrt{2}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-3\sqrt{2}}{2*3}=\frac{0-3\sqrt{2}}{6} =-\frac{3\sqrt{2}}{6} =-\frac{\sqrt{2}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+3\sqrt{2}}{2*3}=\frac{0+3\sqrt{2}}{6} =\frac{3\sqrt{2}}{6} =\frac{\sqrt{2}}{2} $
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