What are the solutions to the equation 4x^2+4sqrt(3)x+3=0 ?

The solutions to the equation 4x^2+4sqrt(3)x+3=0 are x=-0.86602…

Find the zeros of 4x^2+4sqrt(3)x+3=0

The zeros of 4x^2+4sqrt(3)x+3=0 are x=-0.86602…

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4 x^{2} + 43 x + 3 = 0

x = - 0.86602 \dots

Solution steps

4 x^{2} + 43 x + 3 = 0

Factor

4 x^{2} + 43 x + 3 : (2 x + 1.73205 \dots)^{2}

(2 x + 1.73205 \dots)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

2 x + 1.73205 \dots = 0

Solve

2 x + 1.73205 \dots = 0 : x = - 0.86602 \dots

The solution to the quadratic equation is:

x = - 0.86602 \dots

x, y = x^{2} + p x + q

x, f (a + 1) = 4 x^{2} - x + 5

(x - 5)^{2} + x (x + 3) = 25

5 x^{2} - 12 x - 8 = 0

x^{2} - 3 = 4 x + 2

What are the solutions to the equation 4x^2+4sqrt(3)x+3=0 ?
The solutions to the equation 4x^2+4sqrt(3)x+3=0 are x=-0.86602…
Find the zeros of 4x^2+4sqrt(3)x+3=0
The zeros of 4x^2+4sqrt(3)x+3=0 are x=-0.86602…