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MATH / A parabola with equation y=ax²+bx+c has a vertical line of symmetry at x=1 and goes through the two points (−1,3) and (2,−2). The quadratic ax²+bx+c has two real roots. The greater…

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problem

A parabola with equation y=ax2+bx+cy=ax^2+bx+c has a vertical line of symmetry at x=1x=1 and goes through the two points (−1,3)(-1,3) and (2,−2)(2,-2). The quadratic ax2+bx+cax^2 + bx +c has two real roots. The greater root is n+1\sqrt{n}+1. What is nn?
Plain-text mathematical notation (without MathML)
A parabola with equation y=ax²+bx+c has a vertical line of symmetry at x=1 and goes through the two points (−1,3) and (2,−2). The quadratic ax²+bx+c  has two real roots. The greater root is √(n)+1. What is n?
Original LaTeX notation
A parabola with equation $y=ax^2+bx+c$ has a vertical line of symmetry at $x=1$ and goes through the two points $(-1,3)$ and $(2,-2)$. The quadratic $ax^2 + bx +c$  has two real roots. The greater root is $\sqrt{n}+1$. What is $n$?

level

Level 5

type

Algebra

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Source and history

task_id
5c70b871-9d8c-51d0-a9ab-cdde4f4b02aa
task_key
algebra--test--5c70b871-9d8c-51d0-a9ab-cdde4f4b02aa
task_revision_id
1
config / split
algebra / test

Official source

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