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3 years ago

One of the roots of the equation 3x^2+7x−q=0 is −5. Find the other root and q.

1 answer:

3 0

Answer: The answer is $\textup{The other root is }\dfrac{8}{3}~\textup{and}q=40.Step-by-step explanation: The given quadratic equation is[tex]3x^2+7x-q=0\\\\\Rightarrow x^2-\dfrac{7}{3}x-\dfrac{q}{3}=0.$

Also given that -5 is one of the roots, we are to find the other root and the value of 'q'.

Let the other root of the equation be 'p'. So, we have

$p-5=-\dfrac{7}{3}\\\\\\\Rightarrow p=5-\dfrac{7}{3}\\\\\\\Rightarrow p=\dfrac{8}{3},$

and

$p\times(-5)=-\dfrac{q}{3}\\\\\\\Rightarrow \dfrac{8}{3}\times 5=\dfrac{q}{3}\\\\\\\Rightarrow q=40.$

Thus, the other root is $\dfrac{8}{3}$ and the value of 'q' is 40.

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2 years ago

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2 years ago

The bells are adding a new room to their house. The room will be a cube with volume 8000ft3. They are going to put in hardwood

puteri [66]

Given:

Volume of a cubed room = 8000 cubic ft

Cost of floor hardwood = $10 per square foot

To find:

The total cost of floor hardwood.

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Let the each side of cubed room be x ft.

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$x^3=8000$

Taking cube root on both sides.

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So, area of base of room is

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2 years ago