Question

Telle if 4-5 are solutions or not. and please answer the last question correctly
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Answer 1

4. The best way is to plug in the value a=0 in the equation.

and see if the right hand side of the equation is equal to the left hand side of the equation.

`LHS=(5-(0))/(5+(0)) \\\\LHS=1\\RHS=-1\\LHS\\eq RHS`

meaning a=0 is Not the solution of the equation

5.
`LHS=3(x-8)\\LHS=3x-24\\\\RHS=3x-8\\\\LHS\\eq RHS`

meaning x=0 is Not the solution of the equation

6. Now let us solve for x in this case

`4x^(2) +4x-5=2x(x+3)-1\\4x^(2) +4x-5=2x^(2) +6x-1\\4x^(2) -2x^(2)+4x -6x-5+1=0\\2x^(2) -2x-4=0\\2(x^(2) -x-2)=0\\(2(x^(2) -x-2))/(2) =(0)/(2) \\x^(2) -x-2=0\\(x-2)(x+1)=0\\x-2=0 \\x+1=0`

x=2 0r x=-1

-1 and 2 are the solutions of the equation