Question

$x (x - 3) \div 2 = 27$
Please solve it ​

Answer 1

Answer:

$x(x - 3) \div 2 = 27$

${x}^{2} - 3x = 27 \times 2$

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

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

${x}^{2} - (9 - 6)x - 54 = 0$

${x}^{2} - 9x + 6x - 54 = 0$

$x(x - 9) + 6(x - 9) = 0$

$(x - 9)(x + 6) = 0$

$(x - 9) = 0 \: and \: (x + 6) = 0$

$x = 9 \: and \: x = - 6$

Ans. x = 9, x = -6

Hope it helps.

Answer 2

X^2-3X/2=27
=X^2-3X=27*2=54
=X^2-3X-54=0

X^2+6X-9X-54=0
=X(X+6)-9(X+6)=0
X+6=0
=X=-6
X-9=0
X=9