Question

4x^2 +32n+16 solve with splitting methhod​

Answer 1

Correct Question

4x² +34x+16 .Solve with splitting method.

Answer

$\bf { \color{purple}\twoheadrightarrow{4x {}^{2} + 34x + 16 = 0} }$

$\tt{ \color{purple}\twoheadrightarrow{4x {}^{2} + (32 + 2)x + 16 = 0} }$

$\tt{ \color{purple}\twoheadrightarrow{4x {}^{2} + 32x + 2x + 16 = 0} }$

$\tt{ \color{purple}\twoheadrightarrow{4x(x + 8) + 2(x + 8) = 0} }$

$\tt{ \color{purple}\twoheadrightarrow{(4x + 2)(x + 8) = 0} }$

Either,

$\tt{ \color{purple}\twoheadrightarrow{(4x + 2) = 0} } \\ \tt { \color{purple}\twoheadrightarrow{x = \frac{ - 2}{ \: \: 4}}}$

Or,

$\tt{ \color{purple}\twoheadrightarrow{(x + 8) = 0} } \\ \tt { \color{purple}\twoheadrightarrow{x = - 8}{}}$

$\tt{ \color{purple}{the \: value \: of \: x \: is \: ( - 8) \: or \: \frac{ - 2}{ \: \: 4}}}$