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WINSTONCH [101]
2 years ago
8

The equation x^2−8x−5=0 can be transformed into the equation (x−p)^2=q, where p and q are real numbers. What is the value of q?

Mathematics
1 answer:
Setler79 [48]2 years ago
3 0

Answer:

x = 5

  or

x = 3

Step-by-step explanation:

The first term is,  x2  its coefficient is  1 .

The middle term is,  -8x  its coefficient is  -8 .

The last term, "the constant", is  +15

Step-1 : Multiply the coefficient of the first term by the constant   1 • 15 = 15

Step-2 : Find two factors of  15  whose sum equals the coefficient of the middle term, which is   -8 .

     -15    +    -1    =    -16

     -5    +    -3    =    -8

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In ​ kite PQRS ​, TQ=3 cm and TP=4 cm. What is SP ? Enter your answer in the box.
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Answer:

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Let PR is the main diagonal and SQ is the cross diagonal of kite PQRS as shown in figure,  also let T is the intersection point of PQRS.

By Property of Kite, diagonal SQ bisects PR at perpendicular angle i.e, 90 degree.

i,e

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Substitute the given values of TQ and TP we have;

PQ = \sqrt{3^2+4^2} =\sqrt{9+16} =\sqrt{25} = 5 cm

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3 years ago
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