x^2+34x–408=0 what is the value of x?
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Answered by
3
Step-by-step explanation:
triangle OEB,
OB2 = OE2 + EB2
OB2 = x2 + 52 ---(1)
In triangle OFD,
OD2 = OF2 + FD2
OD2 = (17-x)2 + 122 ---(2)
OB = OD (radius of the given circle)
(1) = (2)
x2 + 52 = (17-x)2 + 122
x2 + 52 = 172 + x2 - 2(17) x + 122
x2 + 25 = 289 + x2 - 34x + 144
x2 - x2 + 34x + 25 - 144 - 289 = 0
34x - 408 = 0
34(x - 12) = 0
x = 12 cm
By applying the value of x in the 1st equation, we get
OB2 = 122 + 52
OB2 = 144 + 25 = 169
OB = √169 = 13 cm
hope it will help you
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Answered by
0
Answer:
It is a quadratic equation
Step-by-step explanation:
x^2 +34x-408=0
dear please check your question it might be wrong
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