1. Find x and y intercepts f(x)=5x^2-35
x-intercepts:
(
) (
7, 0 , − 7, 0
)
y-intercept: ( 0, −35)
2. Solve y completing the square x^2-14x=10
x = 7 + 59, 7 − 59
3. Solve by completing the square x^2+2x-15=0
x = 3, -5
4. Find the x intercepts of (x)=x^2+7x-3
" −7 + 61 % " −7 − 61 %
x-intercepts: $
, 0 ', $
, 0 '
2
2
#
& #
&
5. If a pro basketball player has a vertical leap of about 25 in, what is his hang time? Use
the function v=48T^2
0.7
6. Solve for x x^2+18x+4=0
x = −9 + 77, −9 − 77
7. Solve for r r^2+3r=7
r=
−3+ 37 −3− 37
, 2
2
8. Solve 3x^2-5x-11=0 find the x intercepts of f(x)=3x^2-5x-11
Solutions:
5 + 157 5 − 157
,
6
6
" 5 + 157 %
x-intercepts: $
, 0 ', 6
#
&
" 5 − 157 %
, 0'
$
6
#
&
9. Solve for x 2(x-4)-(x+2)=(x+2)(x-4)
x = 1, 2
10. Solve for x 1/x+1/x+16=1/15
x = 24, -10
11. x^2+3x-7=0 give an exact an approximate solutions to 3 decimal places.
Exact solutions:
−3+ 37 −3− 37
,
2
2
Approximate solutions: 1.541, -4.541