How do you solve #x^2-2x-1=x+3#?

Answer 1

#x=4#
#x=-1#

First, get #0# on one side. #(x^2-2x-1)# #-(x+3)#=#x+3# #-(x+3#)
#x^2-3x-4=0#
Next, factor this equation. #(x-4)(x+1)=0# Therefore, #(x-4)=0# #x=4# or #(x+1)=0#, #x=-1#
You can verify this using FOIL: =#x^2+x-4x-4# =#(x^2-3x-4)#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

#x=-1#
#x=4#

#x^2-2x-1=x+3#
#x^2-2x-1-x-3=0#
#x^2-3x-4=0#
#x^2-4x+x-4=0#
#x(x-4)+1(x-4)=0#
#(x+1)(x-4)=0#
#x+1=0# #x=-1#
#x-4=0# #x=4#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 3

#x=-1,x=4#

Consider the given equation #x^2-2x-1=x+3#
Subtract #x+3# from both sides (Or bring all terms to the left-hand side)
#x^2-2x-1-x-3=x+3-x-3#
Thus, #x^2-2x-1-x-3=0#
Add like terms #x^2-3x-4=0#
Split middle term so as to obtain #(-4)# as product and #(-3)# as sum #x^2+x-4x-4=0#
Take common factors out from paired terms #x(x+1)-4(x+1)=0#
Then, #(x+1)(x-4)=0# #x+1=0# or #x-4=0# #x=-1# or #x=4#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 4

To solve the equation x^2-2x-1=x+3, we can rearrange it to x^2-3x-4=0. This is a quadratic equation, so we can solve it by factoring, completing the square, or using the quadratic formula. Factoring the equation, we get (x-4)(x+1)=0. Therefore, the solutions are x=4 and x=-1.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided 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 one-sided 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 one-sided 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 one-sided 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.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7