Question

11(m+1) (m+2) =38 (m+1)+9m solve by formula method​

Answer 1

Answer:

m= $\frac{-8}{11}$ , 2

Step-by-step explanation:

11(m+1)(m+2)=38(m+1)+9m

(11m+11)(m+2)=38m+38+9m

11m^2+22m+11m+22=47m+38

11m^2+33m+22=47m+38

11m^2+33m-47m+22-38=0

11m^2-14m-16=0

Apply Quadratic formula:

m=($\frac{-b+\sqrt{b^2-4ac} }{2a}$),($\frac{-b-\sqrt{b^2-4ac} }{2a}$)

a=11 , b=-14 , c=-16

m=$\frac{-8}{11}$ , m=2

Answer 2

Answer:

(1) x − 4 = 3, x =−1, 7,−7

x−4=3⇒x−4+4=3+4⇒x=7

Hence, x = 7 is the solution of the equation.

(2) 9m = 81, m = 3, 9, −3

9m=81Dividing both sides by 9⇒9m9=819⇒m=9

Hence, m = 9 is the solution of the equation.

(3) 2a + 4 = 0, a = 2, −2, 1

2a+4=0⇒2a+4−4=−4⇒2a=−4Dividing both sides by 2⇒2a2=−42⇒a=−2

Hence, a = −2 is the solution of the equation.

(4) 3 − y = 4, y = −1, 1, 2

3−y=4⇒3−y+y=4+y⇒3=4+y⇒3−4=4+y−4⇒−1=y

Hence, y = −1 is the solution of the equation.