Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
d=4
Evaluate
2d−5=d−1
Find the domain
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Evaluate
{2d−5≥0d−1≥0
Calculate
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Evaluate
2d−5≥0
Move the constant to the right side
2d≥0+5
Removing 0 doesn't change the value,so remove it from the expression
2d≥5
Divide both sides
22d≥25
Divide the numbers
d≥25
{d≥25d−1≥0
Calculate
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Evaluate
d−1≥0
Move the constant to the right side
d≥0+1
Removing 0 doesn't change the value,so remove it from the expression
d≥1
{d≥25d≥1
Find the intersection
d≥25
2d−5=d−1,d≥25
Raise both sides of the equation to the 2-th power to eliminate the isolated 2-th root
(2d−5)2=(d−1)2
Evaluate the power
2d−5=d−1
Move the expression to the left side
2d−5−d=−1
Move the expression to the right side
2d−d=−1+5
Add and subtract
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Evaluate
2d−d
Collect like terms by calculating the sum or difference of their coefficients
(2−1)d
Subtract the numbers
d
d=−1+5
Add and subtract
d=4
Check if the solution is in the defined range
d=4,d≥25
Find the intersection of the solution and the defined range
d=4
Solution
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Check the solution
2×4−5=4−1
Simplify
3=3
Evaluate
true
d=4
Show Solution
Graph
