Question

The roots of √3x² + 10x - 8√3=0 are​

Answer 1

Answer:

The Quadratic equation is

√3x²+10x-8√3 = 0✓

so to find the roots of this eq we need to apply the sridhar acchariyas formula to this equation which is as follows:-

x= -b±√D / 2a

$\sqrt{3x ^{2} } + 10x - 8 \sqrt{3} = 0$

Here a= √3 ,b= 10 c= -8√3

So , X=

$\frac{ - b \: plus \: minus \: \sqrt{b ^{2} - 4ac} }{2a}$

$\frac{ - 10 \: plus \: \: minus \: \sqrt{100 + 96} }{2 \sqrt{3} }$

$\frac{ - 10 \: plus \: minus14}{2 \sqrt{ 3} }$

ether

$x = \frac{ - 10 - 14}{2 \sqrt{3} } \: or \frac{ - 10 + 14}{2 \sqrt{3} }$

$x = \frac{ - 24}{2 \sqrt{3} } \: or \: \frac{4}{2 \sqrt{3} }$