Question

Write the following equations in the form ax + bx + c = 0, then write the values of a, b, c for each

i. 3m² = 2m² – 9

ii. P (3 + 6p) = – 5

iii. x² – 9 = 13

Answer 1

i. 3m² = 2m² – 9 

∴ 3m² – 2m² + 9 = 0 

∴ m² + 9 = 0 

∴ m² + 0m + 9 = 0

Comparing the above equation with

am² + bm + c = 0, we get 

a = 1, b = 0, c = 9

ii. p (3 + 6p) = – 5 

∴ 3p + 6p² = -5 

∴ 6p² + 3p + 5 = 0

Comparing the above equation with

ap² + bp + c = 0, we get

a = 6, b = 3, c = 5

iii. x² – 9 = 13 

∴ x² – 9 – 13 = 0 

∴ x² – 22 = 0 

∴ x² + 0x – 22 = 0

Comparing the above equation with

ax² + bx + c = 0, we get 

a = 1, b = 0, c = -22