Question
Solve the equation
Solve for x
Solve for m
x=1+1+mx=1−1+m
Evaluate
x2−2x−m=0
Substitute a=1,b=−2 and c=−m into the quadratic formula x=2a−b±b2−4ac
x=22±(−2)2−4(−m)
Simplify the expression
More Steps

Evaluate
(−2)2−4(−m)
Use the commutative property to reorder the terms
(−2)2−(−4m)
Rewrite the expression
22−(−4m)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
22+4m
Evaluate the power
4+4m
x=22±4+4m
Simplify the radical expression
More Steps

Evaluate
4+4m
Factor the expression
4(1+m)
The root of a product is equal to the product of the roots of each factor
4×1+m
Evaluate the root
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Evaluate
4
Write the number in exponential form with the base of 2
22
Reduce the index of the radical and exponent with 2
2
21+m
x=22±21+m
Separate the equation into 2 possible cases
x=22+21+mx=22−21+m
Simplify the expression
More Steps

Evaluate
x=22+21+m
Divide the terms
More Steps

Evaluate
22+21+m
Rewrite the expression
22(1+1+m)
Reduce the fraction
1+1+m
x=1+1+m
x=1+1+mx=22−21+m
Solution
More Steps

Evaluate
x=22−21+m
Divide the terms
More Steps

Evaluate
22−21+m
Rewrite the expression
22(1−1+m)
Reduce the fraction
1−1+m
x=1−1+m
x=1+1+mx=1−1+m
Show Solution
