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1 vote
Solve by Completing the Square then identify the type of SOLUTIONS:
3x^2 - 12x - 45 = 0

User AlexArgus
by
6.4k points

1 Answer

3 votes

Answer: x= 2 +
\sqrt\\ 19 , x= 2 -
\sqrt19\\

Explanation:
x_(1,\:2)=(-\left(-12\right)\pm √(\left(-12\right)^2-4\cdot \:3\left(-45\right)))/(2\cdot \:3)


x_(1,\:2)=(-\left(-12\right)\pm \:6√(19))/(2\cdot \:3)


x_1=(-\left(-12\right)+6√(19))/(2\cdot \:3),\:x_2=(-\left(-12\right)-6√(19))/(2\cdot \:3)


x=2+√(19),\:x=2-√(19)

User Acaz Souza
by
6.5k points
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