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kykrilka [37]
3 years ago
14

If 2/3 and -3 are the roots of the equation px^2+7x+q=0, find the values of p and q.

Mathematics
2 answers:
aev [14]3 years ago
6 0

Answer:

p = 3

q = -6

Step-by-step explanation:

See the image for detailed steps.

weqwewe [10]3 years ago
4 0

Answer:

p = 3

q = -6

Step-by-step explanation:

Work backwards from the roots:

x = \frac{2}{3}

3x = 2

3x - 2 = 0

Other root:

x = -3

x + 3 = 0

Multiply them together:

(3x - 2)(x + 3) = 0

3x² - 9x + 2x - 6 = 0

3x² - 7x - 6 = 0

p = 3

q = -6

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