Question

solve the quadratic equation (x2-1)2-5(x-1)-6=0​

Answer 1

HeYa❤️...

Correct Question

$(x {}^{2} - 1) {}^{2} - 5(x - 1) - 6 = 0$

Solution

$given = > \: (x {}^{2} - 1) {}^{2} - 5(x - 1) - 6 = 0 \\ \\ \: \: \: \: \: \: \: \: \: \: \: = > x {}^{2} - 2x + 1 - 5x + 5 - 6 = 0 \\ \\ \: \: \: \: \: \: \: \: \: = > x {}^{2} - 7x + 6 - 6 = 0 \\ \\ \: \: \: \: \: \: \: \: \: = > x {}^{2} - 7x = 0 \\ \\ \: \: \: \: \: \: \: \: \: = > x(x - 7) = 0 \\ \\ \: \: \: \: \: \: \: \: \: => x = 0 \: or \: 7$

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Answer 2

Answer:

=> (x - 1)² - 5(x - 1) - 6 = 0

=> x² + 1 - 2x - 5x - 1 - 6 = 0

=> x² - 7x - 6 = 0

=> x² - 6x - x - 6 = 0

=> x(x - 6) - 1(x - 6) = 0

=> (x - 1)(x - 6) = 0

=> x = 1 or, x = 6