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One of the roots of the equation 2x^2 − 9x – 18 = 0 is 6. What is the
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08 Feb 2021, 07:02
08 Feb 2021, 07:02
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One of the roots of the equation \( 2x^2 − 9x – 18 = 0\) is 6. What is the other root?
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\(-1.5\)
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Re: One of the roots of the equation 2x^2 − 9x – 18 = 0 is 6. What is the
[#permalink]
08 Feb 2021, 08:38
08 Feb 2021, 08:38
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\( 2x^2 − 9x – 18 = 0\)
One root is 6.
Here from the equation, we can determine the sum and the multiplication of the roots.
In an equation \( ax^2 + bx + c = 0\)
Sum of roots = \(\frac{-b}{a}\)
Multiplication of roots = \(\frac{c}{a}\)
For the given equation :
Sum of roots = \(\frac{-(-9)}{2}\) = 4.5
One root = 6 Hence other root = \(4.5-6\) = \(-1.5\)
One root is 6.
Here from the equation, we can determine the sum and the multiplication of the roots.
In an equation \( ax^2 + bx + c = 0\)
Sum of roots = \(\frac{-b}{a}\)
Multiplication of roots = \(\frac{c}{a}\)
For the given equation :
Sum of roots = \(\frac{-(-9)}{2}\) = 4.5
One root = 6 Hence other root = \(4.5-6\) = \(-1.5\)
gmatclubot
Re: One of the roots of the equation 2x^2 − 9x – 18 = 0 is 6. What is the [#permalink]
08 Feb 2021, 08:38
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