Maths - Quadratic Equations
Solve, Urgent
Answers
Step-by-step explanation:
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Answer:
x = √6/3 , √6/3
Note:
★ The possible values of the variable which satisfy an equation are called its roots.
★ A quadratic equation can have atmost two roots .
Solution:
Here,
The given quadratic equation is ;
3x² - 2√6x + 2 = 0
Let's find the roots of the given quadratic equation by factorisation using middle term splitting method .
Working rule :
★ Write the given quadratic equation in standard form ( ie ; descending order of degree of variable )
★ The standard form of a quadratic equation is given by ; ax² + bx + c .
★ Split the middle term in such a way that the product of its parts is equal to the product of first term and last term .
Thus,
=> 3x² - 2√6x + 2 = 0
=> 3x² - √6x - √6x + 2 = 0
=> √3x(√3x - √2) - √2(√3x - √2) = 0
=> (√3x - √2)(√3x - √2) = 0
=> x = √2/√3 , √2/√3
OR
=> x = √6/3 , √6/3
Hence,
Required roots are : x = √6/3 , √6/3
(real and equal roots)