Question

make this Into Quadratic equation!!? and please explain​

Answer 1

x² +(x+24)²/16= 468 (taking LCM )

now open all bracket,

x²+ x²+576+ 48x = 468

now,

2x² + 48x + 108 = 0

can be simplified as,

x² + 24x +54 =0

pls mark as BRAINLIEST if it helps

Answer 2

$\huge\mathcal{\fcolorbox{cyan}{black}{\pink{ANSWER}}}$

$\frac{ {x}^{2} }{16} + \frac{ {(x + 24)}^{2} }{16} = 468 \\ \implies \: \frac{ {x}^{2} + {(x + 24)}^{2} }{16} = 468 \\ \implies \: {x}^{2} + {x}^{2} + 2 \times x \times 24 + {24}^{2} = 468 \times 16 = 7488 \\ \implies \: 2 {x}^{2} + 48x + 576 - 7488 = 0 \\ \implies \: {x}^{2} + 24x - 3456 = 0 \\ \implies \: {x}^{2} + 72x - 48x - 3456 = 0 \\ \implies \: x(x + 72) - 48(x + 72) = 0 \\ \implies \: (x + 72)(x - 48) = 0 \\ \\ \therefore \: x + 72 = 0 \: \: \: \: \: or \: \: x - 48 = 0 \\ \implies \: x = - 72 \: \: \: or \: \implies \: x = 48 \\ \\ \therefore \: x = 48 \: \: or \: \: - 72$