Question

How many roots does the equation 3x² = 1 - 7x have and what is the nature of the roots

Answer 1

Explanation:

Rewrite this quadratic in standard form: 3x^2 + 7x - 1.

The coefficients of x are {3, 7, -1}, and so the discriminant is b^2 - 4ac, or

7^2 - 4(3)(-1), or 49 + 12, or 61. Because the discriminant is positive, this quadratic has two real, unequal roots