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3 years ago

If one of the zeros of 3x^2+5x+γ=0 is 4 times the other, then find the zero and value of k

Mathematics

1 answer:

Natalija [7]3 years ago

8 0

Answer:

Step-by-step explanation:

Let α be one of the zeros of the polynomial.

Other = 4α

α + 4α = - Coefficient of x / Coefficient of x² = -5/3

5α = -5/3

α = -5/3*5

α = -1/3

α * 4α = Constant term/Coefficient of x²

4α² = k / 3

$4*(\frac{-1}{3})^{2}=\frac{k}{3}\\\\4*\frac{1}{9}=\frac{k}{3}\\\\4*\frac{1}{9}*3=k\\\\4*\frac{1}{3}=k\\\\k=\frac{4}{3}$

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coldgirl [10]

Step-by-step explanation:

the easiest approach with a given point and the slope of the line is the point-slope form :

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2 years ago

a rectangle has a length of (x+3) centimeters and a width of 1/2x centimeters. If the perimeter is 24 centimeters, what is the l

bogdanovich [222]

Answer:

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Step-by-step explanation:

Given: The length of rectangle(l) = (x+3) cm and a width of rectangle (w) = $\frac{1}{2} x$ cm a

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Perimeter of rectangle is to add the lengths of all the four sides.

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then,

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Combine like terms;

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