For what values of m does the graph of y=3x^2+7x+m have two x-intercepts

Wribreeminsl

Wribreeminsl

Answered question

2020-12-06

For what values of m does the graph of y=3x2+7x+m have two x-intercepts

Answer & Explanation

Bella

Bella

Skilled2020-12-07Added 81 answers

Given
y=3x2+7x+m
The graph of a quadratic function has two x-intecepts when the discriminant of the equation is positive.
The discriminant of a quadratic equation y=ax2+bx+c is D=b24ac.
D=b24ac=724(3)(m)=4912m
The discriminant needs to be positive when the graph has two x-intecepts:
49-12m>0
Subtract 49 from each side of the inequality:
-12m>-49
Divide each side of the inequality by -12
m<(4912)
Simplify:
m<4912

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