Question

solve the following quadratic equation using completing the square method:
1.) 9x²+24x-16
2.) x²+10x-25
pls pls​

Answer 1

${\boxed{\tt{\underline{\underline{Solution \: \: of \: \: [1] }}}}}$

$\tt{→9 {x}^{2} - 24x + 16}$

$\tt{→{(3x)}^{2} - 2(3x)(4) + {(4)}^{2}}$

$\tt{→{(3x - 4)}^{2}}$

$\tt{→(3x - 4) \: (3x - 4)}$

${\boxed{\tt{\underline{\underline{Solution \: of \: \: [2] }}}}}$

$\tt{→ {x}^{2} - 10x + 25}$

$\tt{→ {x}^{2} - 5x - 5x + 25}$

$\tt{→x(x - 5) - 5(x - 5)}$

$\tt{→{(x - 5)}^{2}}$

$\tt{→(x - 5)(x - 5)}$