Question

what is a solution to the equation? (x −2)(x + 5) = 18

Answer 1

✞ Given :-

$(x - 2)(x + 5) = 18$

❦. To find :-

• The solution of the equation...

♫ Solution :-

$(x - 2)(x + 5) = 18$

➪ By multiplying , we get

$x(x + 5) - 2(x +5 ) = 18$

${x}^{2} + 5x - 2x - 10 = 18$

${x}^{2} + 3x - 10 - 18 = 0$

${x}^{2} + 3x - 28 = 0$

${x}^{2} - 4x + 7x - 28 = 0$

➪ By taking common , we get

$x(x -4 ) + 7(x - 4) = 0$

$(x - 4)(x + 7) = 0$

$x = 4 \: or \: - 7$

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➪ The solution of

$(x - 2)(x +5 )$

is 4 and -7......