determine the nature of roots of quadratic equation 3x²-4√3x+4=0
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For a quadratic equation ax² + bx + c =0, the term b² - 4ac is called discriminant (D) of the quadratic equation because it determines whether the quadratic equation has real roots or not ( nature of roots). As , b² – 4ac = 0, Hence,the given quadratic equation has real and equal roots.
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actually this question is in the form of (a-b) ²
= (√3 x - 2)²
so, you can simply get the root without factorization
x = 2/√3
hope it helps
thanku
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