Question

Directions: Find the roots of each of the following quadratic equation using any
method. Answer the questions that follow.
1. x2 + 3x + 2 = 0
6. 15h2 – 7h – 2 = 0
2. s2 - 5s + 6 = 0
7. 12s2 – 5s - 3 = 0
3. r2 + 2r - 8 = 0
8. 6t27t-3 = 0
4. t2 + 12t + 36 = 0
9. 3m2 - 8m - 4 = 0
5. 4x2 + 16x + 15 = 0
10. 2w2 - 3w - 20 = 0​

Answer 1

1. x^2 +3x+2=0

x^2 +(1+2)x+2=0

x^2 +1x+2x+2=0

x(x+1)+2(x+1)=0

(x+1)(x+2)

x= -1

x= -2

2.15h2 – 7h – 2 = 0

15h2 – (10-3)h– 2 = 0

15h2 – 10h+3h– 2 = 0

5h(3h-2)+1(3h-2)=0

( 3h-2)(5h-2)=0

h= 2/3

h= 2/5

3.s2 - 5s + 6 = 0

s2 - (6-1)s + 6 = 0

s2 - 6s-1s + 6 = 0

s(s-6)-1(s-6)=0

( s-6) (s-1)=0

s= 6

s= 1

4.12s2 – 5s - 3 = 0

12s2 – (9-4)s - 3 = 0

12s2 – 9+4s - 3 = 0

3s(4s-3)+1(4s-3) = 0

(4s-3)(3s+1)=0

s=3/4

s=-1/3

5.r2 + 2r - 8 = 0

r2 + (4-2)r - 8 = 0

r2 + 4r-2r - 8 = 0

r(r+4)-2(r+4) =0

(r+4)(r-2)=0

r = -4

r = 2

6.t2 + 12t + 36 = 0

t2 + (6+6)t + 36 = 0

t2 + 6t+6t + 36 = 0

t(t+6)+6(t+6)=0

(t+6)(t+6)=0

t= -6