The square of a positive number is equal to its triple added to 28. What is this number?

Mathematics

1 answer:

sashaice [31]1 year ago

4 0

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$\huge{ \rm{Answer:}}$

The roots of the equation are 7 and -4, because 7 - 4 = 3 and 7. - 4 = -28

Step-by-step explanation:

The positive number is equal to 7.

Assuming that the number is equal to "x" we have:

$\begin{gathered}x^2 = 3x + 28\\\\x^2 - 3x - 28 = 0\\\\a = 1\\\\b = -3\\\\c = -28\\\end{gathered}$

By the sum and product method, we have:

$\begin{gathered}S = -b / a\\\\S = -(-3) / 1\\\\S = 3\\\\\end{gathered}$

$\begin{gathered}P= c / a\\\\P = 28 / 1\\\\P = 28\\\\\end{gathered}$

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Step-by-step explanation:

We have been given that a ball is thrown upward from ground level. Its height h, in feet, above the ground after t seconds is $h(t)=-48t -16t^2$ . We are asked to find the maximum height of the ball.

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