# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$x^2+11x-7=0$

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

$x=\frac{-11\pm 12.2066}{2}$

Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation x^2+11x-7=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=11 and c=-7. 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 -11 and 12.2066. Add the values -11 and -12.2066.

$x=\frac{184}{305},\:x=-11.6033$

### Problem Analysis

$x^2+11x-7=0$

### Main topic:

Trigonometric Equations

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