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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)
(A) (1, 0)
(B) (–2, 0)
(C) (5, 0)
(D) (6, 0)
(E) (3, 0)
13 Mar 2023, 06:09
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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)
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)
