Set each of the factors of the left-hand side of the equation equal to 0.
u=25_25u-626=0_x=y^(2)-25
Since -626 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 626 to both sides.
u=25_25u=626_x=y^(2)-25
Divide each term in the equation by 25.
u=25_u=(626)/(25)_x=y^(2)-25
The complete solution is the set of the individual solutions.
u=25,(626)/(25)_x=y^(2)-25
Take the square root of both sides of the equation to eliminate the exponent on the left-hand side.
y=\~(25)_x=y^(2)-25
Pull all perfect square roots out from under the radical. In this case, remove the 5 because it is a perfect square.
y=\5_x=y^(2)-25
First, substitute in the + portion of the \ to find the first solution.
y=5_x=y^(2)-25
Next, substitute in the - portion of the \ to find the second solution.
y=-5_x=y^(2)-25
The complete solution is the result of both the + and - portions of the solution.
y=5,-5_x=y^(2)-25
Squaring a number is the same as multiplying the number by itself (5*5). In this case, 5 squared is 25.
For y=5_x=(25)-25
Subtract 25 from 25 to get 0.
For y=5_x=0
Multiply -5 by -5 to get 25.
For y=-5_x=((25))-25
Remove the parentheses around the expression 25.
For y=-5_x=(25)-25
Subtract 25 from 25 to get 0.
For y=-5_x=0
Remove the parentheses around the expression 626.
For y=(~(626))/(5)_x=((626))/((5)^(2))-25
Remove the parentheses around the expression 626.
For y=(~(626))/(5)_x=(626)/((5)^(2))-25
Simplify the exponents of 5^(2).
For y=(~(626))/(5)_x=(626)/(25)-25
Combine -25+(626)/(25) into a single expression by finding the least common denominator (LCD). The LCD of -25+(626)/(25) is 25.
For y=(~(626))/(5)_x=(1)/(25)
Multiply -(~(626))/(5) by -(~(626))/(5) to get (~(626)^(2))/(25).
For y=-(~(626))/(5)_x=(((~(626)^(2))/(25)))-…