How do you solve #p( - 5- p ) = 6#?

Answer 1

#p=-3" or "p=-2#

#"distribute and rearrange into "color(blue)"standard form"#
#rArr-5p-p^2=6#
#rArrp^2+5p+6=0larrcolor(blue)"in standard form"#
#"the factors of + 6 which sum to + 5 are + 3 and + 2"#
#rArr(p+3)(p+2)=0#
#"equate each factor to zero and solve for p"#
#p+3=0rArrp=-3#
#p+2=0rArrp=-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

#p= -2 and -3#

#p(-5-p)=6#

Using FOIL method :

#-5p-p^2=6#
#p^2+5p+6=0#

Factorization (you can also use quadratic formula and completing square):

#(p+3)(p+2)=0#
#p=-3 and -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 3

To solve the equation ( p(-5 - p) = 6 ), first distribute ( p ) into the parentheses: ( -5p - p^2 = 6 ). Rearrange the terms to form a quadratic equation: ( p^2 + 5p + 6 = 0 ). Factor the quadratic equation: ( (p + 2)(p + 3) = 0 ). Set each factor equal to zero and solve for ( p ): ( p + 2 = 0 ) or ( p + 3 = 0 ). Therefore, ( p = -2 ) or ( p = -3 ).

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