Solve the following equation
2y^2=50
Solve for y:
2y2 = 50
Divide each side of the equation by 2
| 2y2 | |
| 2 |
| = |
| 50 |
| 2 |
| y2 = | 50 |
| 2 |
| y = | √50 |
| √2 |
Using our radical expression calculator, we can simplify this
y2 = 25
Take the square root of each side:
√y2= √25
y= = ±√25
Simplify √25
If you use a guess and check method, you see that 42 = 16 and 62 = 36
Since 16 < 25 < 36 the next logical step would be checking 52
52 = 5 x 5
52 = 25 <--- We match our original number!!!
Therefore, √25 = 5
Another method is to list out the products of integers starting at 1 as follows:
12 = 1 x 1 = 1 <--- Not our answer since 1 < 25
22 = 2 x 2 = 4 <--- Not our answer since 4 < 25
32 = 3 x 3 = 9 <--- Not our answer since 9 < 25
42 = 4 x 4 = 16 <--- Not our answer since 16 < 25
52 = 5 x 5 = 25 <--- This is our answer!!!
62 = 6 x 6 = 36 <--- Not our answer since 36 > 25
Final Answer
y = ±5
