Question

Solve 2x²+5✓3x+6=0 by quadratic formula

Answer 1

Step-by-step explanation:

Given :-

• 2x^2 + 5√3x+6 = 0

To Find :-

• find the equation

solution :-

Here a=2, b = 5√3, c=6

Find a quadratic equation to have real roots

b^2- 4ac > or = 0

(5√3)^2 - 4 ×2 ×6

= 25 × 3 -48

=75 - 48

=27 > 0

Hence real roots exist

Now finding the roots

Splitting the middle term

2x^2 + 4√3x + √3 x + 6 =0

2x( x +2√3) + √3 (x + 2√3) = 0

(2x+√3)(x+2√3)=0

So roots are

x = -√3/2, x= -2√3

Internal Information

• Definition : A type of equation, having its degree ( highest power ) is 2.

• General form : ax² + bx + c = 0

• For finding the roots ( zeroes ) of this equation, we use quadratic formula. x can be said its zero.