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2 years ago

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Mathematics

1 answer:

PIT_PIT [208]2 years ago

5 0

The solution to the equation is p = 1/3 and q = undefined

<h3>How to solve the equation?</h3>

The equation is given as:

p^2 - 2qp + 1/q = (p - 1/3)

The best way to solve the above equation is by the use of a graphing calculator i.e. graphically

However, it can be solved algebraically too (to some extent)

Recall that the equation is given as:

p^2 - 2qp + 1/q = (p - 1/3)

Split the equation

So, we have

p^2 - 2qp + 1/q = 0

p - 1/3 = 0

Solve for p in p - 1/3 = 0

p = 1/3

Substitute p = 1/3 in p^2 - 2qp + 1/q = 0

So, we have

(1/3)^2 - 2q(1/3) + 1/q = 0

This gives

1/9 - 2/3q + 1/q = 0

This gives

2/3q + 1/q = -1/9

Multiply though by q

So, we have

2/3q^2 + 1 = -1/9q

Multiply through by 9

6q^2 + 9 = -q

So, we have

6q^2 + q + 9 = 0

Using the graphing calculator, we have

q = undefined

Hence. the solution to the equation is p = 1/3 and q = undefined

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3 years ago

If h(-8), find 1/3*h(x) = x^2-5x+7

Lynna [10]

The value is 333

<h3>How to determine the function</h3>

From the information given, we have:

x = - 8
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Now, let's substitute the value of 'x' in the function:

1/3*h(x) = x^2-5x+7

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h ( -8) = $\frac{64 + 40+ 7 }{1/ 3}$

Take the sum of the numerator

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Take the inverse of the denominator and multiply

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Thus, the value is 333

Learn more about algebraic expressions here:

brainly.com/question/723406

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1 year ago

Wrong answers will be reported ​

Wrong answers will be reported