Solve by completing the square.
2 answers:
Answer:
-23.18, -0.82
Step-by-step explanation:
- h² + 24h + 19 = 0
- h²+2h*12+12²-125=0
- (h+12)²-√125²=0
- (h+12+11.18)(h+12-11.18)=0
- (h+23.18)(h+0.82)=0
- h+23.18=0 ⇒ h= -23.18
- h+0.82=0 ⇒ h= -0.82
Answer:
-23.18, -.82
Step-by-step explanation:
h^2 + 24h + 19 = 0
Subtract 19 from each side
h^2 +24h = -19
Take the coefficient of h
24
Divide by 2
24/2 =12
Square it
12^2 =144
Add this to both sides
h^2 +24h+144 = -19+144
(h+12)^2 =125
Take the square root of each side
sqrt((h+12)^2) =±sqrt(125)
h+12 = ±sqrt(125)
Subtract 12 from each side
h+12-12 = -12 ±sqrt(125)
h =-12 ±sqrt(125)
h = -12 - sqrt(125) = -23.18033989
h = -12 + sqrt(125) = -.819660113
To the nearest hundredth
-23.18, -.82
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