help plz y=x^2-2x-2 y=4x+5 A (-1,1) and (-7,-23) B (-1,1) and (7,33) C (-1,33) and (7,1)
D. No solution
as they are both y= we can equate the expressions in x so x^2 - 2x - 2 = 4x + 5 x^2 - 6x - 7 = 0 can you solve this ?
this will factor to the form (x + a)(x + b) = 0 you need to find a and b
to find a and b you need to find 2 numbers whose product = -7 and whose sum is -6
ab = -7 a + b = -6
I know there two solution
a=1, b=-6 c=-7
the a and b are not the coefficients ax^2 + bx + c . Sorry if i have confused you . I could have used e ,f j and k any letters.
the product is -7 * 1 = -7 and sum is - 7+ 1 = -6 so the equatiion becomes (x - 7)(x + 1) = 0 so what are the 2 values of x?
x=7 1 x=-1 2
yes x = 7 and x = -1 now you have to find the values of y for each value of x.
do this by plugging in these values into y = 4x + 5 so for x = -1 y = 4(-1)
y = 4(-1) + 5
y=4(8)+5=33 y=4(-1)+5=1
yes they are correct
so the answer is (-1,1) and (7,33)?
yes B
thank you
yw
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