Question

y4-63y2-64

Factorize the question

Answer 1

Answer:

x=-1,8

explanation➡

$\sf\ let \: {y}^{2} = x \\ \\ \sf\ \therefore { {y}^{2} }^{2} - {63y}^{2} - 64 = 0\\ \\ \sf\ \implies: {x}^{2} - 63x - 64 = 0\\ \\ \sf\ \implies: {x}^{2} - (64x - x) - 64 = 0 \\ \\ \sf\ \implies: {x}^{2} - 64x + x - 64 = 0 \\ \\\sf\ \implies: x(x - 64) + 1(x - 64) = 0 \\ \\ \sf\ \implies: (x + 1)(x - 64) = 0 \\ \\ \tt\ x + 1 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt\ x - 64 = 0\\ \\ \boxed{\sf\ \implies: x = - 1} \: \: \: \: \: \: \: \: \: \boxed{\sf\ \implies: x = 64}\\ \\ \sf\ y^2=64\\ \\ \sf\ \implies:y^2=8^2\\ \\ \underline{\sf\ \implies: y=8 }\\ \\ \\ \sf\ y^2=-1\\ \\ \sf\ \implies:y^2=-1^2\\ \\ \underline{\sf\ \implies: y=-1 }$