Solve x^2+10x=24 by completing the sqaure. which is the solution set of the equation
1 answer:
Answer:
{-12, 2}
Step-by-step explanation:
x^2 + 10x = 24
Take half of the x-term coefficient and square it. Add that to both sides.
Half of 10 is 5. 5^2 = 25.
x^2 + 10x + 25 = 24 + 25
(x + 5)^2 = 49
x + 5 = +/-sqrt(49)
x + 5 = 7 or x + 5 = -7
x = 2 or x = -12
{-12, 2}
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Answer:
Obtuse
Step-by-step explanation:
One of the angles is above 90 degrees
One scarf=s
One hat=h
2s+h=13
s+2h=14
h=13-2s
(plug that into the other equation)
s+2(13-2s)=14
s+26-4s=14
26-3s=14
-3s=-12
s=4
One hat=$5
One scarf=$4
5+4=9
Price of one hat AND one scarf is $9
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Answer:
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