Question

Please answer these 4 questions and show work

Answer 1

Answer:

1.) By middle term splitting,

x² +9x +5x +45=0

x(x+9)+5(x+9)=0

(x+5)(x+9)=0

hence x=-5 or x=-9

2. 7k²-4k-3=0

7k²-7k+3k-3=0

7k(k-1)+3(k-1)=0

(7k+3)(k-1)=0

hence k=-3/7 or k=1

3.)

v²-6v+5=0

v²-5v-v+5=0

v(v-5)-1(v-1)=0

(v-5)(v-1)=0

hence v=1 or v=5

4.)

-10a²+5a+15=0

10a²-5a-15=0

2a²-a-3=0

2a²-3a+2a-3=0

2a²+2a-3a-3=0

2a(a+1)-3(a+1)=0

(2a-3)(a+1)=0

hence a=3/2 or a=-1