2xsqur +x -4 solve by complete squar method

2x^2 + x - 4
First we divide the whole equation by 2
So, 2x^2÷2 + x÷2 - 4÷2
= x^2 + x/2 - 2
Now , we have find the b
{ 2ab = x
2×x/2×b= x
b = 1 }

X^2 + x/2 + (1^2) -(1^2) - 2 = 0
(x+2)^2 - 1 -2 = 0
(x+2)^2 - 3 = 0
(x+2)^2 = 3
(X+2) = under root +- 3
x = under root 3 - 2
x = -under root 3 - 2
Roots are under root 3 + 2, - under root 3 - 2

Solution : -

k^2 + 19k + 60

k^2 + 19k + 60 = 0

k^2 + 15k + 4k + 60 = 0

k(k + 15) + 4(k + 15) = 0

(k + 15) (k + 4) = 0

so, the length of the rectangle is k + 15 and the width is k + 4

answer.