3√2x square - 5x - √2 = 0 . Solve by factorisation and say roots.
Answers
Answer:
Required zeroes of the given equation are √2 and - 1 / 3√2.
Step-by-step explanation:
Given quadratic equation : 3√2 x^2 - 5x - √2 = 0
Method 1
Using Quadratic Formula :
From the properties of quadratic equations, if an equation is ax^2 + bs + c = 0 then it's roots are :
\boxed{\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}}
2a
−b±
b
2
−4ac
On comparing the given equation with ax^2 + bx + c = 0, we get :
a = 3√2 ; b = - 5 ; c = - √2
Therefore,
= > x = [ - ( - 5 ) ± √{ ( - 5 )^2 - 4( 3√2 x - 2 ) } ] / ( 2 x 3√2 )
= > x = [ 5 ± √{ 25 + 24 } ] / ( 6√2 )
= > x = ( 5 ± √49 ) / 6√2
= > x = ( 5 ± 7 ) / 6√2
= > x = 12 / 6√2 Or - 2 / 6√2
= > x = √2 Or - 1 / 3√2
Step-by-step explanation:
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