0
What is an extraneous solution to the equation x-3 equals sq rt 5-x?
Wiki User
∙ 10y ago
x - 3 = √(5 - x); square both sides, for the left side use (a - b)2 = a2 - 2ab + b2
x2 - 6x + 9 = 5 - x; add x and subtract 5 to both sides
x2 - 5x + 4 = 0; this is factorable since 4 = (-1)(-4) and (-1) + (-4) = -5
(x - 1)(x - 4) = 0; let each factor equal to zero
x - 1 = 0; x = 1
x - 4 = 0; x = 4
Check if 1 and 4 are solutions to the original equation.
1 - 3 =? √(5 - 1)
-2 =? √4 (recall the radical symbol is looking only for the positive root)
-2 = 2 false, so that 1 does not satisfy the original equation, so it is an extraneous solution.
4 - 3 =? √(5 - 4)
1 =? √1
1 = 1 true, so that 4 is a solution to x - 3 = √(5 - x).
Wiki User
∙ 10y ago
Add your answer:
Earn +20 pts
What is the solution set for -5x plus x plus 9 equals -4x plus 12?
-5x + x + 9 = -4x + 12 -4x + 9 = -4x + 12 9 = 12 This equation has no solution.
What is x in this equation 10-5x equals 30?
X=-4
How many solutions does the equation have?
how many solutions does the equation have? 4x+1=5+2(2-4) a. one solution b. infinite solutions c. no solution
The Solution of the equation 5x2 - 2x - 39 equals 0?
(5x + 13)(x - 3) so x = either -13/5 (ie -2.6) or 3.
What is the solution of the following system of equations 3y equals 5x y equals x plus 2?
3y = 5x y = x+2 Pluging the second equation into the first gives us 3(x+2) = 5x 3x + 6 = 5x 2x = 6 x = 3 and plugging this answer back into either original equation yeilds y = x+2 y = 3+2 y = 5 So the answer is (3, 5)
What is the solution to this equation 5x equals -60?
65
Which is the solution to the equation 3x-4 equals 5x-4?
x = 0
What is the answer 5x equals 26?
The solution to the equation is x = 26/5 = 5.2
What is '5x-37 equals 13'?
a linear equation solution 5x-37=13 5x=13+37 5x=50 x=10
What would the solution for the equation 4 3 x plus 2 equals 5x?
In the equation 43X +2=5X, X=-1/19.
What is an equation that has the same solution as 8 - 5x equals x -10?
12x = 36
What is 35 equals 3 plus 5x?
It is a linear equation in one variable, x. The solution to the equation is x = 6.4
Which is a solution to the equation 5x plus 2y equals 9?
If: 5x+2y = 9 Then: y = -2.5x+4.5 in slope intercept form
How do you solve 5x equals 18 plus 5x?
That equation has no solution. There is no possible number that's equal to 18 more than itself.
Is 7 a solution of the equation 3x plus 8-x equals 5x-4?
If: 3x+8-x = 5x-4 Then: x = 4
The solution of the equation 5x equals 3x 13 falls between what 2 consecutive integers?
5x-2=13 +2 +2 5x=15 x=3
What is the solution of -5x plus y equals -5?
-10
