Question

19. Solve by Factorisation x²+5x+6=0.​

Answer 1

Answer:

x² + 5x + 6 = 0

==> x² + 3x + 2x + 6 = 0

==> x ( x + 3) + 2 (x + 3)

==> (x + 3 )(x + 2)=0

x + 3 = 0 or, x + 2 = 0

x = -3 or, x = -2

hope it helps you!!!!

Answer 2

Answer:

(x + 2) (x + 3)

Step-by-step explanation:

=> x² + 5x + 6 = 0

(To solve the equation, factor x^2  + 5x + 6 using formula

x^2  + (a+b) x + ab = (x + a) (x + b).

To find a and b, set up a system to be solved.)

=> { [a + b = 5] & [ab = 6] }

(Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 6.)

=> 1, 6

   2, 3

(Calculate the sum for each pair.)

=> 1 + 6 = 7

    2 + 3 = 5

(The solution is the pair that gives sum 5.)

=> a = 2

    b = 3

(Rewrite factored expression (x + a) (x + b) using the obtained values.)

=> (x + 2) (x + 3)

SOLVED