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In the following exercises, solve equations in Quadratic Form for 6x-2 + 13x-1 + 5 = 0.

Short Answer

Expert verified

The solution of the equation is x=-35, x=-2.

Step by step solution

01

Step 1. Given Information.

The given equation is 6x-2 + 13x-1 + 5 = 0.

02

Step 2. Simplify

Simplifying 6x-2 + 13x-1 + 5 = 0

6x2+13x+5=06+13x+5x2=0

03

Step 3. Solve Quadratic equation.

Using quadratic formula:-

5x2+13x+6=0

x1, 2=-13±132-4· 5· 62· 5x1, 2=-13± 72· 5x1=-13+72· 5, x2=-13-72· 5x=-35, x=-2

Therefore, The solution of the equation are x=-35, x=-2.

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