Question

Factories x²+7x+12 by splitting the middle term ​

Answer 1

Answer:

hello ybj-itcr-hpp.

for answers

Answer 2

ANSWER : -3 , -4

x² + 7x + 1 2= 0

${x}^{2} + 7 x + 12 = 0$

$\red{\implies} {x}^{2} + 7x = - 12$

$\red{\implies}{x}^{2} +7x +{ ( \frac{7}{2} ) }^{2} = - 12 + {( \frac{7}{2} ) }^{2}$

$\red{\implies}{( {x} + \frac{7}{2}) }^{2} = - 12 + \frac{49}{4}$

$\red{\implies}{(x + \frac{7}{2} ) }^{2} = \frac{1}{4}$

$\red{\implies}(x + \frac{7}{2} ) = \sqrt{ \frac{1}{4} }$

$\red{\implies}x + \frac{7 }{2} = ±\frac{1}{2}$

$\red{\implies}x = \frac{ - 6}{2}$

$\red{\implies}x = - 3$

$\rule{10cm}{0.05cm}$

$\red{\implies}x = \frac{ - 1}{2} - \frac{7}{2}$

$\red{\implies}x = \frac{ - 8}{2}$

$\red{\implies}x = - 4$

$\rule{10cm}{0.05cm}$

$\rule{10cm}{0.05cm}$

values of x are -3 and -4