What are the solutions to the equation x(x-3)=54 ?

The solutions to the equation x(x-3)=54 are x=9,x=-6

Find the zeros of x(x-3)=54

The zeros of x(x-3)=54 are x=9,x=-6

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x (x - 3) = 54

x = 9, x = - 6

Solution steps

x (x - 3) = 54

Expand

x (x - 3) : x^{2} - 3 x

x^{2} - 3 x = 54

Move

54

to the left side

x^{2} - 3 x - 54 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 1 \cdot ( - 54 )}{2 \cdot 1}

(- 3)^{2} - 4 \cdot 1 \cdot (- 54) = 15

x_{1, 2} = \frac{- ( - 3 ) \pm 15}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 15}{2 \cdot 1}, x_{2} = \frac{- ( - 3 ) - 15}{2 \cdot 1}

x = \frac{- ( - 3 ) + 15}{2 \cdot 1} : 9

x = \frac{- ( - 3 ) - 15}{2 \cdot 1} : - 6

The solutions to the quadratic equation are:

x = 9, x = - 6

\frac{k}{8} - 1 = - 3

\frac{36}{81}

50 = 5 (x + 5)

\frac{496 g ^{12} h ^{8}}{16 h ^{6} z ^{- 1}}

∣ 4 x + 40 ∣ \leq 0

What are the solutions to the equation x(x-3)=54 ?
The solutions to the equation x(x-3)=54 are x=9,x=-6
Find the zeros of x(x-3)=54
The zeros of x(x-3)=54 are x=9,x=-6