Question

The quadratic equation 3x² - 4 √3 x +4=0 has​

Answer 1

Answer:

for a quadratic equation ax²+bx + c = 0, the term b² -4ac is called discriminant of the quadratic equation because it determines whether the quadratic equation has real roots or not (nature of the roots).

D= b²-4ac

so a quadratic equation ax²+bx+c=0, has

1. two distinct real roots ,if b²-4ac>0, then x = -b/2a + under root D/2a & x= -b/2a- under root D/2a
2. two equal real roots ,if b²-4ac=0 ,thenx= -b/2a or -b / 2a
3. No real roots, if b²-4ac<0

SOLUTION: -

GIVEN;- 3x²- 4 under root 3x +4 =0

on comparing it with ax²+bx+c=0, we get a=3, b= -4

a=3, b= -4under root 3 and c = 4.

thanks the given quadratic equation has real and equal roots.

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