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How many real number solutions does this have 3x^2 + 8x +7=0

User Augustzf
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1 Answer

3 votes

Answer:

zero

Explanation:

The answer to that question is best found by looking at the value of the discriminant.

For quadratic ax^2 +bx +c = 0, the value of the discriminant is ...

d = b^2 -4ac

Here, you have a=3, b=8, c=7, so the discriminant is ...

d = 8^2 -4(3)(7) = 64 -84 = -20

When the discriminant is negative, both solutions are complex (not real).

There are zero real solutions to this equation.

User Sudo Work
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3.8k points