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3 years ago

Factor 6a2 - 10a - 24.

Mathematics

1 answer:

deff fn [24]3 years ago

4 0

The answer of the question is A

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. If α and β are the roots of

Lostsunrise [7]

Answer:

$18x^2+85x+18 = 0$

Step-by-step explanation:

Given Equation is

=> $2x^2+7x-9=0$

Comparing it with $ax^2+bx+c = 0$ , we get

=> a = 2, b = 7 and c = -9

So,

Sum of roots = α+β = $-\frac{b}{a}$

α+β = -7/2

Product of roots = αβ = c/a

αβ = -9/2

Now, Finding the equation whose roots are:

α/β ,β/α

Sum of Roots = $\frac{\alpha }{\beta } + \frac{\beta }{\alpha }$

Sum of Roots = $\frac{\alpha^2+\beta^2 }{\alpha \beta }$

Sum of Roots = $\frac{(\alpha+\beta )^2-2\alpha\beta }{\alpha\beta }$

Sum of roots = $(\frac{-7}{2} )^2-2(\frac{-9}{2} ) / \frac{-9}{2}$

Sum of roots = $\frac{49}{4} + 9 /\frac{-9}{2}$

Sum of Roots = $\frac{49+36}{4} / \frac{-9}{2}$

Sum of roots = $\frac{85}{4} * \frac{2}{-9}$

Sum of roots = S = $-\frac{85}{18}$

Product of Roots = $\frac{\alpha }{\beta } \frac{\beta }{\alpha }$

Product of Roots = P = 1

The Quadratic Equation is:

=> $x^2-Sx+P = 0$

=> $x^2 - (-\frac{85}{18} )x+1 = 0$

=> $x^2 + \frac{85}{18}x + 1 = 0$

=> $18x^2+85x+18 = 0$

This is the required quadratic equation.

5 0

3 years ago

Read 2 more answers

If two angles form a linear pair, then they are adjacent and __________.

77julia77 [94]

The answer is C. Supplementary.

6 0

3 years ago

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Round 796.301 to the underlined place value.the underlined place value is 0

svetoff [14.1K]

796.300 because the 1 is less than four so it becomes a zero and the numbers in front stay the same.

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3 years ago

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A function g(x) decreases by 7 over every unit interval in x and g(0) = 0

Zina [86]

Are you asking what the answer is because you are not asking us anything. I would really like to help you out but I need to know what the question is first.

5 0

3 years ago

Anne runs 5 6 of a mile every day. How many days would she have to run to reach a total of 35 6 miles?

matrenka [14]

35/6) / (5/6
35/6*6/5
210/30=7
It would take her 7 days to run 35/6 miles.

Hope this helps :)

4 0

3 years ago