Question

Solve a-5/a+4 = 5/4
a=0
a=-1
a=-9
a=-40​

Answer 1

Explanation:

we have

`a- (5)/(a) + 4 = (5)/(4)`

we multiple both sides by (4a)

`4a^(2) -20+ 16a= 5a\\4a^(2) + 11a - 20=0`

The delta = 11^2 - 4*4*(-20)= 121 + 320= 441= 21^2

These 2 solutions are:

`x_(1)=(-11+ 21)/(4*2) =(10)/(8) =(5)/(4) \\x_(2)=(-11 - 21)/(4*2) =(- 32)/(8) = - 4`

Solution: - 4 , 5/4

But maybe you wrote:

`(a-5)/(a+4)=(5)/(4) \\ 4(a-5)=5(a+4)\\4a -20= 5a+ 20\\4a-5a= 20 + 20\\-a = 40\\or\\ a= -40\\`

So a = -40

P.S: Pay attention to using parentheses