Question

The equation 2x²+ bx + 3= 0 has the two equal roots then the value of b is _________
​

Answer 1

Answer:

b=√24

Step-by-step explanation:

2x²+bx+3=0

(b)²-4(2)(3)=0

b²-24=0

b²=24

b=√24

Answer 2

Answer:

$\huge{\boxed{\rm{\red{b=2√6(or)-2√6}}}}$

Step-by-step explanation:

Given:-

Equation is 2x²+ bx + 3= 0

It has equal roots

To find:-

Value of b

Solution:-

Given equation is 2x²+ bx + 3= 0

On comparing with the standard equationax²+bx+c=0

a=2;b=b;c=3

Used concept:-

If ax²+bx+c=0 has equal roots then the discriminant b²-4ac=0

Now,

b²-4ac=0

=>b²-4(2)(3)=0

=>b²-24=0

=>b²=24

=>b=±√24

=>b=±√(4×6)

=>b=±2√6

Answer:-

The value of b=±2√6