# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$v^2+6v-59=0$

Learn how to solve trigonometric equations problems step by step online.

$v=\frac{-6\pm 16.4924}{2}$

Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation v^2+6v-59=0. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=1, b=6 and c=-59. Then substitute the values of the coefficients of the equation in the quadratic formula:<ul><li>\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</li></ul>. To obtain the two solutions, divide the equation in two equations, one when \pm is positive (+), and another when \pm is negative (-). Add the values -6 and 16.4924. Add the values -6 and -16.4924.

$v=5.2462,\:v=-11.2462$

### Problem Analysis

$v^2+6v-59=0$

### Main topic:

Trigonometric Equations

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