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Recall the Quadratic Formula and use it to solve the given equation.
- 2.4, 1.6
We will use the Quadratic Formula to solve the given quadratic equation.
ax^2+ bx+ c=0 ⇕ x=- b± sqrt(b^2-4 a c)/2 a
Substitute values
Calculate power
a(- b)=- a * b
- a(- b)=a* b
Add terms
Split into factors
sqrt(a* b)=sqrt(a)*sqrt(b)
Calculate root
Factor out 2
Cancel out common factors
Using the Quadratic Formula, we found that the solutions of the given equation are x= - 2± 2sqrt(26)5. Therefore, the solutions are x_1= - 2+2sqrt(26)5≈ 1.6 and x_2= - 2-2sqrt(26)5≈ - 2.4.