Question

Solve the following quadratic equation by factorization.
1. x²-15x+54=0

Answer 1

Answer:

The roots of the equation are 9 and 6.

Step-by-step explanation:

Factorize the equation as follows:

$x^{2}-15x+54=0\\x^{2}-9x-6x+54=0\\x(x-9)-6(x-9)=0\\(x-9)(x-6)=0$

If (x - 9) = 0, then the value of x is 9.

If (x - 6) = 0, then the value of x is 6.

Thus, the roots of the equation are 9 and 6.

Answer 2

Answer:

x=6 and 9

Step-by-step explanation:

x=(+15+-√225-216)/2*1

x=(15+-√9)/2

for +ve

x=(15+3)/2

18/2

9

x=9

for -ve

x=(15-3)/2

12/2

6

x=6&9