Algebra
Calculus
Trigonometry
Matrix
Question :
sqrtx + 1 = 2 x
Solve the equation
x=81+17
Alternative Form
x≈0.640388
Evaluate
x+1=2x
Find the domain
More Steps
Evaluate
x+1≥0
Move the constant to the right side
x≥0−1
Removing 0 doesn't change the value,so remove it from the expression
x≥−1
x+1=2x,x≥−1
Evaluate
x+1=2x,2x≥0
Evaluate
x+1=2x,x≥0
Solve the equation for x
More Steps
Evaluate
x+1=2x
Raise both sides of the equation to the 2-th power to eliminate the isolated 2-th root
(x+1)2=(2x)2
Evaluate the power
x+1=4x2
Move the expression to the left side
x+1−4x2=0
Rewrite in standard form
−4x2+x+1=0
Multiply both sides
4x2−x−1=0
Substitute a=4,b=−1 and c=−1 into the quadratic formula x=2a−b±b2−4ac
x=2×41±(−1)2−4×4(−1)
Simplify the expression
x=81±(−1)2−4×4(−1)
Simplify the expression
More Steps
Evaluate
(−1)2−4×4(−1)
Evaluate the power
1−4×4(−1)
Multiply
1−(−16)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
1+16
Add the numbers
17
x=81±17
Separate the equation into 2 possible cases
x=81+17x=81−17
x=81+17x=81−17,x≥0
Find the intersection
x=81+17
Check if the solution is in the defined range
x=81+17,x≥−1
Find the intersection of the solution and the defined range
x=81+17
Solution
More Steps
Check the solution
81+17+1=2×81+17
Simplify
1.280776=1.280776
Evaluate
true
x=81+17
Alternative Form
x≈0.640388
Show Solution
Graph
