Question

show your solutions follow the steps and then answer ​

Answer 1

Step-by-step explanation:

(a)

Two equations are x²+8x = -16

and 2x²-7x+5 = 0

(b)

Given equation is x²+8x = -16

=> x²+8x+16 = 0

=> (x)²+2(x)(4) + 4² = 0

=> (x+4)² = 0

=> (x+4)(x+4) = 0

=> x+4 = 0 or x+4 = 0

=> x = -4

The solutions are -4 and -4

And

Given equation is 2x²-7x+5 = 0

=> 2x²-2x-5x+5 = 0

=> 2x(x-1)-5(x-1) = 0

=> (x-1)(2x-5) = 0

=> x-1 = 0 or 2x-5 = 0

=> x = 1 or 2x = 5

=> x = 1 or x = 5/2

The solutions 1 and 5/2

Used Method :-

→ Factorization Method

Used Identity:-

→ (a+b)² = a²+2ab+b²