Answer:
a) (x + 5) (x - 5)
b) (x + 5i) (x - 5i)
c) (x + (5i/2)) (x - (5i/2))
d) (x-1)(x-1)
e) x +i√3 +1) (x -i√3+1)
Step-by-step explanation:
To solve this, we will need to factorize each quadratic function making it equal to zero first and then proceeding to find x
a) f(x) = x²-25
x²-25 = 0
⇒(x + 5) (x - 5)
b) f(x)=x²+25
x² + 25 = 0
x²= -25
x = √-25
x = √25i
x = ±5i
⇒(x + 5i) (x - 5i)
c) f(x)=4x²+25
4x²+25 = 0
4x²= -25
x² = -25/4
x = ±√(-25/4)
x = ±(√25i)/2
x = ±5i /2
⇒(x + (5i/2)) (x - (5i/2))
d) f(x)=x²-2x+1
x²-2x+1 = 0
⇒(x - 1)²
e) f(x)=x²-2x+4
x²-2x+4 = 0
x²-2x = -4
x²-2x +1 = -4 +1
x²-2x + 1 = -3
(x-1)² +3 = 0
(x-1)²= -3
x-1 = √-3
x = ±√3i +1
⇒(x +i√3 +1) (x -i√3+1)
X=11/5 x=2.2 is slicing for x
g(x)=3x^2-2(x+7)/2x+5
g(-1)=3(-1)^2-2(-1)+7/2(-1)+5
Do the numerator first
(3)(-1)(-1)-2(-1)+7
3+2+7
=12
2(-1)+5
-2+5
=3
Numerator= 12 , Denominator=3
Numerator/ Denominator = 12/3=4
Answer: g(-1)=4
If we already know that one side= 39 and the other is 56, a triangle must measure up to 180 so 39+56= 95.180-95= 85 m<c= 85.
to find the scale factor we need to compare the two sides the scale factor is 1/2
Answer:
-30 angle b
18 ft. h
Step-by-step explanation:
a=bh