Answer:
x = (1/2) (-9 ± √73)
Step-by-step explanation:
Using completing the square method
x²+9x+2=0
x²+9x = -2 (complete the square by adding (9/2)² to both sides)
x²+9x + (9/2)² = -2 + (9/2)²
( x + (9/2) )² = -2+ (9/2)²
( x + (9/2) )² = -2+ (81/4)
( x + (9/2) )² = 73/4
x + (9/2) = ± √(73/4)
x + (9/2) = ± √(73) / 2
x = -(9/2) ± √(73) / 2 (factorize out (1/2) )
x = (1/2) (-9 ± √73)
Answer:
y-4=-7(x-3) and y=-3/8x-8
Step-by-step explanation:
Point slope form: y-y1=m(x-x1)
the slope is already -7.
We can the just plug in the values: y-4=-7(x-3)
For the 2nd problem we can plug in values as well: -2=3/8(16)+b.
-2=6+b. the y intercept is -8. The final form is y=-3/8x-8
Answer:
w => -4
w =<9
Step-by-step explanation:
So bigest to smallest? 1/2, 1/5, 1/6.
If the other way, just flip it around.