Question

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

Answer 1

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

Answer 2

28

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