How do you solve the quadratic #-4-2p^2=-40# using any method?

Answer 1

#p=-3sqrt(2)color(white)("XX")orcolor(white)("XX")p=+3sqrt(2)#

Given #color(white)("XXX")-4-2p^2=-40#
Simplify by multiplying everything on both sides by #(-1)# #color(white)("XXX")4+2p^2=40#
Subtract #4# from both sides #color(white)("XXX")2p^2=36#
Divide both sides by #2# #color(white)("XXX")p^2=18#
Take the square root (giving both a positive and a negative possible solution) #color(white)("XXX")p=+-sqrt(18)=+-3sqrt(2)#
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

To solve the quadratic equation -4 - 2p^2 = -40, you can follow these steps:

  1. Add 4 to both sides to isolate the term with the variable: -2p^2 = -36

  2. Divide both sides by -2 to solve for p^2: p^2 = 18

  3. Take the square root of both sides: p = ±√18

  4. Simplify the square root of 18: p = ±3√2

Therefore, the solutions to the quadratic equation -4 - 2p^2 = -40 are p = 3√2 and p = -3√2.

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