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OpenStudy (anonymous):
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)
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OpenStudy (anonymous):
D. No solution
OpenStudy (welshfella):
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 ?
OpenStudy (welshfella):
this will factor to the form
(x + a)(x + b) = 0
you need to find a and b
OpenStudy (welshfella):
to find a and b you need to find 2 numbers whose product = -7 and whose sum is -6
OpenStudy (welshfella):
ab = -7
a + b = -6
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OpenStudy (anonymous):
I know there two solution
OpenStudy (anonymous):
a=1, b=-6 c=-7
OpenStudy (welshfella):
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.
OpenStudy (welshfella):
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?
OpenStudy (anonymous):
x=7
1
x=-1
2
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OpenStudy (welshfella):
yes x = 7 and x = -1
now you have to find the values of y for each value of x.
OpenStudy (welshfella):
do this by plugging in these values into y = 4x + 5
so for x = -1
y = 4(-1)
OpenStudy (welshfella):
y = 4(-1) + 5
OpenStudy (anonymous):
y=4(8)+5=33
y=4(-1)+5=1
OpenStudy (welshfella):
yes they are correct
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OpenStudy (anonymous):
so the answer is (-1,1) and (7,33)?
OpenStudy (welshfella):
yes B
OpenStudy (anonymous):
thank you
OpenStudy (welshfella):
yw
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