Question
Determine the zero(s) of the quadratic function y=−5x^2+16x
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Answers
GPT 3.5
To find the zeros of the quadratic function y = -5x^2 + 16x, we set y = 0 and solve for x.
0 = -5x^2 + 16x
Rearranging the equation:
5x^2 - 16x = 0
Factoring out x:
x(5x - 16) = 0
Setting each factor equal to zero:
x = 0
5x - 16 = 0
Solving for x:
5x = 16
x = 16/5
Therefore, the zeros of the quadratic function y = -5x^2 + 16x are x = 0 and x = 16/5.
0 = -5x^2 + 16x
Rearranging the equation:
5x^2 - 16x = 0
Factoring out x:
x(5x - 16) = 0
Setting each factor equal to zero:
x = 0
5x - 16 = 0
Solving for x:
5x = 16
x = 16/5
Therefore, the zeros of the quadratic function y = -5x^2 + 16x are x = 0 and x = 16/5.