Question

What is the discrimination of the quadratic equation 2x²-5x+3=0?

Answer 1

Answer:

THE EQUATION HAS 2 DISTINCT REAL ROOTS

Step-by-step explanation:

Since b² - 4ac determine whether the quadratic equation ax² + bx² + c =0 has real roots or not ,

${b}^{2} - 4ac \\ \: is \: called \: the \: discriminant \: of \: the \\ \: quadratic \: equation$

$2x²-5x+3=0$

$b² - 4ac = > { - 5}^{2} - 4(2)(3)$

$= > 25 - 24$

$= > 1 > 0$

To have 2 distinct real roots, b² - 4ac > 0

Here also 1 > 0

THEREFORE THE EQUATION HAS 2 DISTINCT REAL ROOTS