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Use the method of completing the square to solve the quadratic equation
t2+5t−1=0.

Sagot :

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The solution to the given quadratic equation using the completing the square method is t = -5/2 ±√29/4

Completing the square method

Given the quadratic equation expressed as;

t^2+5t−1=0

Add 1 to both sides

t^2+5t−1 + 1 = 0+1

t^2 + 5t = 1

Take the square of half of the coefficient of t to have:

t^2 + 5t + (5/2)^2 = 1 + (5/2)^2

(t+5/2)^2 = 1+25/4

(t+5/2)^2 = 29/4

t + 5/2 = ±√29/4

t = -5/2 ±√29/4

Hence the solution to the given quadratic equation using the completing the square method is t = -5/2 ±√29/4

Learn more on completing the square method here: https://brainly.com/question/26107616

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