Question

if 3/4(x+1)-1/2=x-1 then x=​

Answer 1

Answer:

Proceed on like this and you will get to right answer

Answer 2

Given,

3/4(x+1) -1/2 = (x-1)

To find,

The value of x.

Solution,

The values of x will be (-1+√21)/4 and (-1+√21)/4.

We can easily solve this problem by following the given steps.

According to the question,

3/4(x+1) -1/2 = (x-1)

Taking the LCM of 4(x+1) and 2 and subtracting the fractions,

3-2(x+1)/4(x+1) = (x-1)

(3-2x-2)/4x+4 = (x-1)

(1-2x)/(4x+4) = (x-1)

Using the cross multiplication method,

(1-2x) = (4x+4) (x-1)

(1-2x) = 4x(x-1) +4(x-1)

(1-2x) = 4x²-4x+4x-4

(1-2x) = 4x²-4

4x²-4 = 1-2x

Moving 1 and 2x from the right-hand side to the left-hand side will result in the change of their signs from plus to minus and minus to plus respectively,

4x²+2x-4-1 = 0

4x²+2x-5 = 0

In this case, it fits the quadratic equation, ax²+bx+c where a = 4, b = 2 and c = -5.

Using the quadratic formula,

x = -b±√b²-4ac/2a

√b²-4ac = √(2)²-4(4)(-5)

√(4)+80

√84

2√21

x = -2±2√21/2(4)

Taking 2 common from the numerator,

x = 2(-1±√21)/2(4)

x = -1±√21/4

Taking +,

x = -1+√21/4

Taking -,

x = -1-√21/4

Hence, the values of x are (-1+√21)/4 and (-1+√21)/4.