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In how many places does the graph of the equation y = ax^2 + bx + c in

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VP
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Concentration: International Business, Operations
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In how many places does the graph of the equation y = ax^2 + bx + c in  [#permalink]

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New post 05 Jul 2018, 09:40
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In how many places does the graph of the equation y = ax^2 + bx + c intersect the x - axis?

1. \(ac = 4\)

2.\(\sqrt{b} = \sqrt{5}\)

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Re: In how many places does the graph of the equation y = ax^2 + bx + c in  [#permalink]

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New post 05 Jul 2018, 11:22
QZ wrote:
In how many places does the graph of the equation y = ax^2 + bx + c intersect the x - axis?

1. \(ac = 4\)

2.\(\sqrt{b} = \sqrt{5}\)


Given equation y = ax^2 + bx + c is parabolic in nature.
Concept:-
1-If discriminant is positive parabola has two intercepts with x‐axis.
2-If discriminant is negative parabola has no intercepts with x‐axis.
3-If discriminant is zero parabola has one intercept with x‐axis.

Discriminant, \(D=b^2-4ac\)
clearly, St1 & st2 are not sufficient individually.

Combining, we have,ac=4 from st1, b=5 from st2
So, \(D=b^2-4ac\)=\(5^2-4*4=25-16=9>0\)

Since discriminant is negative, parabola has two intercepts with x‐axis.

Ans. (C)
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Re: In how many places does the graph of the equation y = ax^2 + bx + c in &nbs [#permalink] 05 Jul 2018, 11:22
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