5x = x^2 + 4
x^2 - 5x + 4 = 0
(x - 4)(x - 1) = 0
x = 4, 1
(x + 6)^2 = 100
x + 6 = +/1 sqrt100
x + 6 = +/- 10
x = 4, -16
1. divide by the GCF it will give you smaller numbers
2.then factor
3. set each factor to = 0
4. you will have 2 values for x
hope this helps
Answer: 5 2/6
Step-by-step explanation: 3 5/6 + 1 3/6 = 5 2/6 because you need to add the pie wholes,(3 + 1) and then you have the fractions, 5/6 + 3/6. So since all you need to make another whole is 1/6 you take it away from 3/6 and give it to 5/6 so now you have another whole. 4 wholes plus 1 new whole is 5 wholes. Since you took 1/6 away from 3/6 you now have 2/6. So 5 wholes and 2/6 were sold.
3 5/6 + 1 3/6 =
3 + 1= = 4
5/6 + 1/6 = 1
3/6 - 1/6 = 2/6
4 + 1 = 5
5 + 2/6 = 5 2/6
Answer: x - 5/x + 1
Step-by-step explanation:
This algebraic fraction
The task to be performed here is factorisation and simplification. Now going by the question,
x² + 4x - 45/x² + 10x + 9, the factorisation of
x² + 4x - 45 = x² + 9x - 5x - 45
= x(x + 9 ) - 5(x + 9 )
= ( x + 9 )(x - 5 ), don't forget this is the algebraic fraction's Numerator
The second part
x² + 10x + 9 = x² + x + 9x + 9
= x(x + 1) + 9( x + 1 )
= ( x + 9 )( x + 1 ), this is the algebraic denominator.
Now place the second expression which is the denominator under the first expression which is the numerator.
( x + 9 )( x - 5 )/( x + 9 )( x + 1 ).
You can see that, ( x + 9 )/( x + 9 ) divide each other , therefore therr then cancelled and left with
x - 5/x + 1
