Question

When 8 is subtracted from the square of a number, the result is 7 times the number.
Find the positive solution.

Answer 1

Answer:

8

Step-by-step explanation:

x^2 - 8 = 7x

x^2 - 7x - 8=0

(x - 8)(x + 1)=0

x - 8= 0   x + 1=0

x=8           x= -1

8 is the positive solution

Answer 2

The positive solution of the equation n² - 7n - 8 = 0 is 8.

What is equation?

"It is a statement which consists of equal symbol between two mathematical expressions."

What is quadratic equation?

• It is a polynomial with degree two.
• The general form of quadratic equation is ax² + b x + c=0; a ≠ 0

For given example,

Let 'n' be a number.

When 8 is subtracted from the square of a number, the result is 7 times the number.

From this condition we get an equation,

n² - 8 = 7n

So we have the quadratic equation,

n² - 7n - 8 = 0

We solve above quadratic equation.

⇒ n² - 7n - 8 = 0

⇒ n² - 8n + n - 8 = 0

⇒ n(n - 8) + 1(n - 8) = 0

⇒ (n - 8)(n + 1) = 0

⇒ n - 8 = 0    or   n + 1 = 0

⇒ n = 8  or n = -1

We need the positive solution of above quadratic equation.

So, n = 8 is the positive solution of above quadratic equation.

Therefore, the positive solution of the equation n² - 7n - 8 = 0 is 8.

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