Question

Solve the quadratic equation by factorisation method

$a) {x}^{2} + 8x + 15 = 0 \\ b) {x}^{2} - 15x +54 = 0$
Sub: Mathematics Part 1​

Answer 1

Answer:

$( a){x}^{2} - 8x = - 15$

$(b) x {}^{2} - 15x = - 54$

Answer 2

Question:-

• Solve the quadratic equation by factorisation method ,

1. ${x}^{2} - 8x + 15 = 0$

Answer:-

The given equation is x

• −8x+15=0

• => x^2 −8x+15=0

• => x^2−5x−3x+15=0

• => x(x−5)−3(x−5)=0

• => (x−3)(x−5)=0

x=3,5

1. ${x}^{2} - 15x + 54 = 0$

• x² - 15x + 54 = 0

• + 54 = 0=> x² - 9x-6x + 54 = 0

• + 54 = 0=> x(x-9) - 6(x-9) = 0

• -9) = 0=> (x-6)(x-9) = 0

• -9) = 0=> x = 6

x = 9