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Here, we show you a step-by-step solved example of quadratic formula. This solution was automatically generated by our smart calculator:
x2+6x+8=0
2
Find the roots of the equation using the Quadratic Formula
x2+6x+8=0
3
To find the roots of a polynomial of the form ax2+bx+c we use the quadratic formula, where in this case a=1, b=6 and c=8. Then substitute the values of the coefficients of the equation in the quadratic formula: x=2aβbΒ±b2β4acββ
x=2β6Β±62β4β 8ββ
ο Passi intermedi
Simplifying
x=2β6Β±62β4β 8ββ
Multiply β4 times 8
x=2β6Β±62β32ββ
Calculate the power 62
x=2β6Β±36β32ββ
Add the values 36 and β32
x=2β6Β±4ββ
Calculate the power 4β
x=2β6Β±2β
4
Simplifying
x=2β6Β±2β
5
To obtain the two solutions, divide the equation in two equations, one when Β± is positive (+), and another when Β± is negative (β)
x=2β6+2β,x=2β6β2β
6
Subtract the values 2 and β6
x=β24β,x=2β6β2β
7
Subtract the values β6 and β2
x=β24β,x=β28β
8
Divide β4 by 2
x=β2,x=β28β
9
Divide β8 by 2
x=β2,x=β4
10
Combining all solutions, the 2 solutions of the equation are
x=β2,x=β4
ξ Risposta finale al problema
x=β2,x=β4ξ
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