3x-2x\Xb2=7 Please Salamat Po

3x-2x²=7 please salamat po

 

Answer:

Standard Form ⇒ 2x² - 3x + 7 = 0

x = (3 ± i√47)/4 ⇒ not real solution  

Step-by-step explanation:

3x-2x²=7

Standard Form ax² + bx + c = 0:

2x² - 3x + 7 = 0

a = 2

b = -3

c = 7

Solve for the roots using quadratic formula or completing the square.

Completing the Square:

x² + bx + (b/2)² = c + (b/2)²

2x² - 3x + 7 = 0

2x²/2 - 3x/2 = -7/2

x² - 3x/2 + (3/2)(1/2)² = -7/2 + (3/2)(1/2)²

x² - 3x/2 + (3/4)² = -7/2 + (3/4)²

(x - 3/4)² = -7/2 + 9/16

(x - 3/4)² = -56/16 + 9/16

(x - 3/4)² = -47/16

√(x - 3/4)² = ± √(-47/16)

x - 3/4 = ± √(-47)/ 4

x = 3/4 ± √(-47) /4  

x = (3 ± i√47)/4  ⇒  not real solution