Question

x
${x }^{2} - 17x + 60$
solve the following quadratic equation by factorization method​

Answer 1

Answer:

(x-12)(x-5)

Step-by-step explanation:

we want to find factors for the numbers 60 that add up to -17. and those factors are 12&5 :

5*12=60,5+12=17

Answer 2

Step-by-step explanation:

Given quadratic equation is x²-17x+60=0

=>x²-5x-12x+60=0

=>x(x-5)-12(x-5)=0

=>(x-5)(x-12)=0

=>x-5 =0 or x-12=0

=>x= 5 and x=12

The roots of the given equation are 5 and 12