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How do i solve Math questions?

"The remainder when x^2-6x-9 is divided by x-p is the same as when it is divided by x+q, where p is not equal to -q. Find the value of p-q"

and

"Find the values of m for which the values of m for which the line y+5=,x is a tangent to the curve y=x^2-1."

and

"Find the coordinates of the points of intersection of the curve 2x^2+2y^2=x+11y+4xy and the line x=3y+1"

and

"Solve the inequalities (3x+2)^2 is lesser or equal to (2x-1)^2

You can solve one question if you do not know the rest. XD

Update:

10points are still up for grab to the best mathematician!!!

1 Answer

Relevance
  • vect
    Lv 7
    1 decade ago
    Favorite Answer

    use synthetic division

    -6p^2+q^2=6q^2+q^2

    simplify

    (p+q)(p-q-6)=0

    p-q=6

    sub and simplify

    (4y-1)(2y-1)=0

    y=1/4,1/2

    x=7/4,5/2 respectively

    3)(3x+2)2-(2x-1)^2<=0

    (3x+2-2x+1)(3x+2+2x-1)<=0

    (x+3)(5x+1)<=0

    crit value x=-3,-1/5

    check interval on number line

    [-3,-1/5] is the answer

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