Question

Check the obtained values of 4s²+12s=-9​

Answer 1

Answer:

s =  $-\frac{3}{2}$  or -1.5

Step-by-step explanation:

4s² + 12s = -9

→ Add 9 to both sides

4s² + 12s + 9 = 0

→ Find factors that times to 9 and add to 12

( 2s + 3 ) ( 2s + 3 ) = 0

→ Solve

s =  $-\frac{3}{2}$  or 0.15

Answer 2

$\\ \bull\tt\looparrowright 4s^2+12s=-9$

$\\ \bull\tt\looparrowright 4s^2+12s+9=0$

$\\ \bull\tt\looparrowright 4s^2+6s+6s+9=0$

$\\ \bull\tt\looparrowright 2s(2s+6)+3(2s+3)=0$

$\\ \bull\tt\looparrowright (2s+6)(2s+3)=3$

$\\ \bull\tt\looparrowright s=-2\:or\:s=\dfrac{-3}{2}$