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:
==7x3−5x2+6x−5
Step-by-step explanation:
=5x3+7x+(-8)+2x3+−5x2+−x+3
Combine Like Terms:
=5x3+7x+−8+2x3+−5x2+−x+3
=(5x3+2x3)+(−5x2)+(7x+−x)+(−8+3)
=7x3−5x2+6x−5
Ali's solution is incorrect.
Ali had to add both the terms and should get 10y answer, and not multiply both terms and get answer 9y^2 which is wrong.
Step-by-step explanation:
Ali simplifies the expression 9y+y to 9y2. We need to identify if Ali's solution is correct or incorrect.
Ali's solution is incorrect.
Reason:
We are given the expression: 9y+y
When we add two like terms ( terms having the same variable and exponent), we add the coefficients of both like terms.
In our case 9y+y = 10y
Whereas Ali has done multiplication of both terms and not addition.
In multiplication we add the exponents of the same variables i.e 9y+y = 9y^2
So, Ali had to add both the terms and should get 10y answer, and not multiply both terms and get answer 9y^2 which is wrong.
Keywords: Solving expressions
Learn more about Solving expressions at:
#learnwithBrainly
Answer:
area of the circle = 3.14 square units
Step-by-step explanation:
Circumference of the circle formula is 
where r is the radius of the circle
given circumference = 6.28
= 6.28
Value of pi is 3.14
2*3.14 * r= 6.28
6.28 r = 6.28
divide by 6.28 on both sides
r = 1
radius = 1
Area of the circle = 
= 3.14 *1*1 = 3.14
