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MATH / Let a be a real number for which there exists a unique value of b such that the quadratic equation x²+2bx+(a−b)=0 has one real solution. Find a.

Problem

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problem

Let

a

be a real number for which there exists a unique value of

b

such that the quadratic equation

x^2 + 2bx + (a-b) = 0

has one real solution. Find

a

Plain-text mathematical notation (without MathML)

Let a be a real number for which there exists a unique value of b such that the quadratic equation x²+2bx+(a−b)=0 has one real solution. Find a.

Original LaTeX notation

Let $a$ be a real number for which there exists a unique value of $b$ such that the quadratic equation $x^2 + 2bx + (a-b) = 0$ has one real solution. Find $a$.

level

Level 5

type

Algebra

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task_id: 15c4df1d-2a19-50eb-8864-18c6f33dfdde
task_key: algebra--test--15c4df1d-2a19-50eb-8864-18c6f33dfdde
task_revision_id: 2
config / split: algebra / test

Official source

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