Question

Solve each equation. Leave the answer as an improper fraction. 16x2 = 49

Answer 1

32x = 49
x = 49/32
Now since u said improper lets make 49/32 to mixed first, then improper
Lets divide 32 and 49 and we get 1 with a remainder of 17
1 17/32
Now that's the mixed fraction, so now lets lastly make it improper
1 * 32 + 17
--------------
32

The answer is 49/32

Answer 2

`x= +-(7)/(4)`

Explanation:

`16x^2= 49`

Solve the equation for x

To solve the equation , we need to isolate x

To get x alone , we need to remove the numbers attached with x

To remove 16 we divide both sides by 16

`x^2 = (49)/(16)`

Now to remove square from x we take square root on both sides

`√(x^2) = \sqrt{(49)/(16)}`

square root (49) = 7

square root (16)= 4

So ,
`x= +-(7)/(4)`

When we take square root we include +-