Question

Factorize:-
x^2+64x+64 =0​

Answer 1

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x^2+64x+64=0

x^2+8x+8x+64=0

x(x+8)+8(x+8)=0

(x+8)(x+8)=0

x+8=0

x=-8

or

x+8=0

x=-8

Answer 2

$<p style="color:purple;font-family:cursive;background:white;font-size:30px;">ANSWER</p>$

$x {}^{2} + 64x + 64 \\ x = - b - + \sqrt{b {}^{2} - 4ac } \div 2a \\ where \\ a = 1.b = 64.c = 64 \\ x = - 64 - + \sqrt{64 {}^{2} - 4(1)(64) } \div 2(1) \\ x = - 64 + - \sqrt{4096 - 256} \div 2 \\ x = - 64 + - \sqrt{3840} \div 2 \\ x = - 64 + - 61.9677 \div 2 \\ x = - 64 + 61.9667 \div 2 \: (or)x = - 64 - 61.9667 \div 2 \\ x = 2.003 \div 2(or)x = - 125.9667 \div 2 \\ x = 1.0015(or)x = - 62.98335$

There arr no actual factors for the given question.