1. Equations & Inequalities

The Quadratic Formula

1. Equations & Inequalities

The Quadratic Formula

Struggling with College Algebra?

Join thousands of students who trust us to help them ace their exams!Watch the first video

Multiple Choice

Solve the given quadratic equation using the quadratic formula. $3x^2+4x+1=0$

$x=3,x=-1$

$x=-\frac13,x=-1$

$x=-3,x=-1$

$x=\frac13,x=-1$

Verified step by step guidance

Identify the coefficients from the quadratic equation 3x^2 + 4x + 1 = 0. Here, a = 3, b = 4, and c = 1.

Recall the quadratic formula: x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}. This formula is used to find the roots of any quadratic equation ax^2 + bx + c = 0.

Substitute the values of a, b, and c into the quadratic formula: x = \frac{-4 \pm \sqrt{4^2 - 4 \cdot 3 \cdot 1}}{2 \cdot 3}.

Calculate the discriminant, which is the expression under the square root: b^2 - 4ac = 16 - 12 = 4.

Simplify the expression: x = \frac{-4 \pm \sqrt{4}}{6}. Then, solve for the two possible values of x by considering both the positive and negative square roots.