Remember (a²-b²)=(a-b)(a+b)
solve for a single variable
solve for y in 2nd
add y to both sides
x²-7=y
sub (x²-7) for y in other equaiton
4x²+(x²-7)²-4(x²-7)-32=0
expand
4x²+x⁴-14x²+49-4x²+28-32=0
x⁴-14x²+45=0
factor
(x²-9)(x²-5)=0
(x-3)(x+3)(x-√5)(x+√5)=0
set each to zero
x-3=0
x=3
x+3=0
x=-3
x-√5=0
x=√5
x+√5=0
x=-√5
sub back to find y
(x²-7)=y
for x=3
9-7=2
(3,2)
for x=-3
9-7=2
(-3,2)
for √5
5-7=-2
(√5,-2)
for -√5
5-7=-2
(-√5,-2)
the intersection points are
(3,2)
(-3,2)
(√5,-2)
(-√5,-2)
Answer:
(x - 1)
Step-by-step explanation:
Given
f(x) = x³ - 2x² - 19x + 20
The sum of the coefficients is 1 - 2 - 19 + 20 = 0
This means that x = 1 is a root and (x - 1) is a factor of f(x)
Answer:
I think it's 5,1
Step-by-step explanation:
counter-wise of 1,1 is -1,1 and translating it 5 to the right makes it -1+6, 1 = 5,1
subtract 3 from both sides to isolate the variable
Z + 3 -3 = -6 -3
Z + 0 = -9
Z = -9
Your question has been heard loud and clear.
let the ratio be m:n
From section formula
(-3n + 4m)/(m+n) = 2
-3n + 4m = 2m+2n
5n = 2m
m/n = 5/2
m:n = 5:2
