Work each problem. Find a value of c so that y=x^2−10x+c has exactly one x-intercept.

Ayaana Buck

Ayaana Buck

Answered question

2021-06-05

Work each problem. Find a value of c so that y=x210x+c has exactly one x-intercept.

Answer & Explanation

Ayesha Gomez

Ayesha Gomez

Skilled2021-06-06Added 104 answers

If a quadratic function has a single x intercept it must have its minimum y=0. Vertex occurs when x=b2a=102=5
Solve for c whem x=5, y=0
0=5210(5)+c
0=25-50+c
0=-25+c
25=c

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