Question

solve by factoring, by square roots, by completing the square, or using the quadratic formulaSolve for x in the equation belowX^2 −15x+54=0

Answer 1

STEP 1: Identify and Set up.

We have a quadratic equation and are asked to solve, i.e, solve for x. We approach this problem via the factoring method.

We look for two factors of the third term, c that add up to the coefficient of x, favtorise and solve.

STEP 2: Execute

`\begin{gathered} x^2-15x+54=0 \\ \text{the factors are -6 and -9} \\ x^2-9x-6x+54=0 \\ Factorizing\text{ gives us:} \\ x(x-9)-6(x-9)=0 \\ (x-9)(x-6)=0 \\ x\text{ is either 9 or 6} \end{gathered}`

x = 9 and x = 6