Find the roots of quadratic equation
by using completing the square method
i.e
2x² + x - 6=0.
Answers
Answered by
25
Step-by-step explanation:
6x² - x - 2 = 0
⇒ 6x² - 4x + 3x - 2 = 0
⇒ 2x(3x - 2) +1(3x - 2) = 0
⇒ (2x+1)(3x - 2) = 0
so either (3x - 2) = 0 or (2x+1) = 0
x = 2/3 or -1/2
Answered by
73
The two solutions come from .
This is equivalent to .
So, solutions are .
More information
What is discriminant?
Let's graph the quadratic equation.
Here, the discriminant is .
The graph is symmetric against therefore two points are marked on
the x-axis. So, the graph has two real solutions. This is the main concept of discriminant.
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