Question

Find the discriminant of x 2 − 10 x + 3 = 0 .

Answer 1

Two distinct real roots

Explanation:

Rearrange terms in descending order:
`x^(2) -10x+3=0`

Find discriminant of quadratic equation through (b^2-4ac ): Δ
`=b^(2) -4ac`

Identify a,b,c througn coefficient:
`\left \{ {{A=1} \atop {B=-10}} \atop {{c=3}\right.`

Substitute the value of a,b,c and calculate discriminant: Δ=88

Determine number of solution through discriminant: two distinct real roots

Answer: two distinct real roots