Question

whether the roots are real or not 3x^ -5x+2=0?​

Answer 1

Answer:

Explanation: If a quadratic equation has no real roots then its discriminant is less than zero. The discriminant of general quadratic equation ax2+bx+c=0 is b2−4ac .Therefore, a quadratic function may have one, two, or zero roots. are given by the quadratic formula. The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero.Imaginary roots appear in a quadratic equation when the discriminant of the quadratic equation — the part under the square root sign (b2 – 4ac) — is negative. If this value is negative, you can't actually take the square root, and the answers are not real.

Answer 2

Answer:

${3x}^{2} - 5x + 2 = 0$

${3x}^{2} - 3x - 2x + 2 = 0$

$3x(x - 1) - 2(x - 1) = 0$

$(x - 1)(3x - 2) = 0$

therefore, x = 1 and 2/3

Hence, Both roots are real...