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f(x)=3x^2−15x+16
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Updated on: 16 Sep 2019, 01:05
Updated on: 16 Sep 2019, 01:05
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Question Stats:
51% (01:44) correct
48% (01:55) wrong based on 27 sessions
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\(f(x)=3x^2−15x+16\) and \(g(x)=x^2−5x+5\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The sum of the roots of \(f(x)\) |
The sum of the roots of \(g(x)\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Re: f(x)=3x^2−15x+16
[#permalink]
15 Sep 2019, 23:28
15 Sep 2019, 23:28
2
Sum of roots of any quadratic equation is always equal to -b\a and the product of roots is c\a.
Therefore,
For Quantity A
-(-15\3) = 5
For Quantity B
-(-5\1) = 5
Hence C.
Therefore,
For Quantity A
-(-15\3) = 5
For Quantity B
-(-5\1) = 5
Hence C.
Re: f(x)=3x^2−15x+16
[#permalink]
16 Sep 2019, 01:03
16 Sep 2019, 01:03
2
Asmakan wrote:
\(f(x)=3x^2−15x+16\) and \(g(x)=x^2−5x+5\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
May someone explains why the answer is C ?
Note: I tried to figure out how to post a and b exact form but couldn't find.
Quantity A |
Quantity B |
The sum of the roots of \(f(x)\) |
The sum of the roots of \(g(x)\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
May someone explains why the answer is C ?
Note: I tried to figure out how to post a and b exact form but couldn't find.
In a quadratic Equation: \(ax^2 + bx + c\)
The sum of the roots is = \(\frac{-b}{a}\)
and the product of the roots is = \(\frac{c}{a}\)
In the above equation :: \(f(x)=3x^2−15x+16\)
b = -15
and a = 3
The sum of the roots = \(\frac{-(-15)}{3} = 5\)
For the next equation ::\(g(x)=x^2−5x+5\)
b = -5
and a =1
The sum of the roots = \(\frac{-(-5)}{1} = 5\)
Here is the link :: https://www.mathwarehouse.com/quadratic/roots/formula-sum-product-of-roots.php
, i am getting solutions that is not real. b^2-4ac i am getting 33 , is that correct?
