Question

Solve the equation for x

4x^2+4x=-1

Answer 1

Answer:

4x^2+4x=-1

4x^2+4x+1=0

4x^2+2x+2x+1=0

2x(2x+1)+1(2x+1)

(2x+1)(2x+1)

2x+1=0. ,. 2x+1=0

x=1/2. x= 1/2. Ans

Answer 2

Answer:

x= -1/4 & x = -1

Step-by-step explanation:

4x^2+4x=-1

change into standard form of eq I.e.,

4x^2+4x+1=0

splitting middle term

4x^2+2x+2x+1=0

taking common

2x(2x+1)+ 1(2x+1)

(2x+1) , (2x+1)

2x+1=0 , 2x+1=0

x=1/2 , x = 1/2

two solutions of x using factorisation method so equal roots