Question

Q.2) 1. x2 + 19x - 92 = 0
11. y2 - 8y – 84 = 0​

Answer 1

Qu 1.

${x}^{2} + 19x - 92 = 0 \\ \\ {x}^{2} + 23x - 4x - 92 = 0 \\ \\ x(x + 23) - 4(x + 23) = 0 \\ \\ (x + 23) \: (x - 4) = 0 \\ \\ x = - 23 \: \: \: or \: \: \: \: x = 4$

Qu 2.

${y}^{2} - 8y - 84 = 0 \\ \\ {y}^{2} - 14y + 6y - 84 = 0 \\ \\ y(y - 14) + 6(y - 14) = 0 \\ \\ (y - 14) \: (y + 6) = 0 \\ \\ y = 14 \: \: \: \: or \: \: \: \: y = - 6$

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