To determine the zero(s) of the quadratic function, we need to find the values of x for which y is equal to zero.
So, let's set y equal to zero and solve for x:
0 = 6x^2 + 13x + 5
This equation can be factored as:
0 = (2x + 1)(3x + 5)
To find the values of x, we set each factor equal to zero and solve for x:
2x + 1 = 0
2x = -1
x = -1/2
3x + 5 = 0
3x = -5
x = -5/3
Therefore, the zeros of the quadratic function y = 6x^2 + 13x + 5 are x = -1/2 and x = -5/3.
Determine the zero(s) of the quadratic function y=6x^2+13x+5
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