Find the roots of the polynomial $4x^2-9$ by putting it in the form of an equation and then set it equal to zero
We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $-9$ from both sides of the equation
Canceling terms on both sides
Divide both sides of the equation by $4$
Removing the variable's exponent
Calculate the power $\sqrt{\frac{9}{4}}$
Cancel exponents $2$ and $1$
As in the equation we have the sign $\pm$, this produces two identical equations that differ in the sign of the term $\frac{3}{2}$. We write and solve both equations, one taking the positive sign, and the other taking the negative sign
Multiply the fraction and term in $- \frac{3}{2}$
Combining all solutions, the $2$ solutions of the equation are
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