What is the descriminate of 9x^2+2=10x

28

Step-by-step explanation:

given a quadratic in standard form : ax² + bx + c : a ≠ 0, then

Δ = b² - 4ac ← discriminant

given 9x² + 2 = 10x (subtract 10x from both sides)

9x² - 10x + 2 = 0 ← in standard form

with a = 9, b = - 10, c = 2

b² - 4ac = ( - 10) ² - (4 * 9 * 2) = 100 - 72 = 28

Let's solve your equation step-by-step.

9x2+2=10x

Step 1: Subtract 10x from both sides.

9x2+2-10x=10x-10x

9x2-10x+2=0

Step 2: Use quadratic formula with a=9, b=-10, c=2.

x = - b±√b2-4ac/2a

x = - (-10) ±√ (-10) 2-4 (9) (2) / 2 (9)

x = 10±√28/18

Answer: x=5/9+1/9√7 or x = 5/9+-1/9√7