If the curve represented by y = x^2 5x + t intersects with the x-axi

Question

If the curve represented by y = x^2 – 5x + t intersects with the x-axis at two points and one of the points is (–1, 0), what is the other point?

(A) (1, 0)
(B) (–2, 0)
(C) (5, 0)
(D) (6, 0)
(E) (3, 0)

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Rabab36 · Answer

substitutinbg value of x and y in equation we get
i.e (-1,0)
t=-6

now substituting value of t into equation we get

x-6=y
y=0 x=6

option D correct

bv8562 · Answer

If the curve represented by y = x^2 – 5x + t intersects with the x-axis at two points and one of the points is (–1, 0), what is the other point?

Solution:
 y = x^2 – 5x + t

One of the roots is -1.

Sum of roots is:  \frac{-b}{a}

\frac{-b}{a}=\frac{-(-5)}{1}

-1+x=5

x=6  (D)

$!vakumar.m · Answer

If the curve represented by  y = x^2 – 5x + t  intersects with the x-axis at two points and one of the points is (–1, 0), what is the other point?
Since the point (-1,0) lies on the curve y = x^2 – 5x + t, so the point satisfies the equation. Substituting x = -1 and y = 0, we get
 0 = (-1)^2 -5(-1) + t 
or 0 = 1 + 5 + t 
=> t = -6
So equation of the curve is  y = x^2 – 5x - 6 
Now to find the other point which lies on x axis, we know that the y coordinate is 0, so we need to find the x coordinate
 0 = x^2 - 5x - 6  
On solving, we get (x+1)(x-6) = 0
so x = -1 or x = 6
we know that (-1,0) is one point so the other point is (6,0) i.e., D is the answer.

If the curve represented by y = x^2 5x + t intersects with the x-axi

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GMAT Problem Solving (PS) Questions

If the curve represented by y = x^2 5x + t intersects with the x-axi

Prep Toolkit

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