Question

$the root \: of \: the \: eqution \: {x}^{2} + 2 \sqrt{3x} + 3 = 0 \: are$
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Answer 1

Answer:

x = -√3 , -√3

Note:

★ The possible values of the variable which satisfy the equation are called its roots or solutions .

★ A quadratic equation can have atmost two roots .

Solution:

Here,

The given quadratic equation is ;

x² + 2√3x + 3 = 0

We need to find the roots of the given quadratic equation .

Thus,

Here we go ↓

=> x² + 2√3x + 3 = 0

=> x² + 2•x•√3 + (√3)² = 0

=> (x + √3)² = 0

=> (x + √3)•(x + √3) = 0

=> x = -√3 , -√3

Hence, x = -√3 , -√3