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jek_recluse [69]
2 years ago
11

Write all the values of p for which the quadratic equation x2 +px+16=0 has equal roots. Find the roots of the equation so obtain

ed​
Mathematics
1 answer:
elena-14-01-66 [18.8K]2 years ago
3 0

Answer:

p=±8

Step-by-step explanation:

For equal roots, discriminant should be equal to 0.

Discriminant=b^2-4ac=p^2-16*4=0

p^2=(8)^2, p=8 or - 8

Roots of the equation are x=4 if p=8 and x=-4 if p=-8

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Q7Which statement is incorrect for the graph of thefunction y = -5 cosGcos( 3 (x – 3)) +62The period is 4.The amplitude is 3.The
guajiro [1.7K]

The given function is,

y=-5\cos (\frac{\pi}{2}(x-3))+6

The graph can be drawn as,

The period will be distance between two consequetive maximas,

\text{Period}=1-(-3)=4

Thus, period is correct.

The amplitude can be determined as,

\begin{gathered} Amplitude=\frac{\max -\min }{2} \\ =\frac{11-1}{2} \\ =5 \end{gathered}

Thus, amplitue is incorrect.

The range is,

y\in\lbrack1,11\rbrack

Thus, the range is correct.

The midline is,

\begin{gathered} \text{midline}=\frac{\max +\min }{2} \\ =\frac{1+11}{2} \\ =6 \end{gathered}

Thus, the midline is correct.

Thus, option (b) is the solution.

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