How do you solve #x^2=24x+10# by completing the square?
By signing up, you agree to our Terms of Service and Privacy Policy
By signing up, you agree to our Terms of Service and Privacy Policy
To solve the equation ( x^2 = 24x + 10 ) by completing the square, follow these steps:

Move the constant term to the other side of the equation: [ x^2  24x = 10 ]

Take half of the coefficient of the xterm (24), square it, and add it to both sides of the equation: [ x^2  24x + (24/2)^2 = 10 + (24/2)^2 ] [ x^2  24x + 144 = 10 + 144 ]

Simplify the equation: [ x^2  24x + 144 = 154 ]

Write the left side of the equation as a perfect square: [ (x  12)^2 = 154 ]

Take the square root of both sides and solve for x: [ x  12 = \pm \sqrt{154} ] [ x = 12 \pm \sqrt{154} ]
Therefore, the solutions to the equation ( x^2 = 24x + 10 ) by completing the square are: [ x = 12 + \sqrt{154} ] and ( x = 12  \sqrt{154} ).
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
 How do you express the area A of a rectangle as a function of the width,W, if the width of the rectangle is twice its length?
 What is the axis of symmetry and vertex for the graph #y=4x^2+5x1#?
 What is the vertex form of #y=2x^2+2x2 #?
 How do you solve #x^2 + 2x7=0#?
 How do you identify the vertex for the graph of #y = −3x^2 + 6x − 4#?
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7