Answer:
see explanation
Step-by-step explanation:
the equation of a quadratic in standard form is
ax² + bx + c = 0 ( a ≠ 0 )
1
2x² = 6 - x ( subtract 6 - x from both sides )
2x² + x - 6 = 0 ← in standard form with a = 2, b = 1 , c = - 6
2
x² - 8x = - 16 ( add 16 to both sides )
x² - 8x + 16 = 0 ← in standard form with a = 1, b = - 8 , c = 16
3
4x² = 144 ( subtract 144 from both sides )
4x² - 144 = 0 ← in standard form with a = 4 , b = 0 , c = - 144
4
x² - 2x = 24 ( subtract 44 from both sides )
x² - 2x - 44 = 0 ← in standard form with a = 1 , b = - 2 , c = - 44
5
2x² + 4 = 6x ( subtract 6x from both sides )
2x² - 6x + 4 = 0 ← in standard form with a = 2 , b = - 6 , c = 4
