Compare the given quadratic equations to the general form and write va

1.	Compare the given quadratic equations to the general form and write values of a, b, c.i. x2 – 7x + 5 = 0ii. 2m2 = 5m – 5iii. y2 = 7y
Answer» i. x² – 7x + 5 = 0 Comparing the above equation with ax² + bx + c = 0, we get a = 1, b = -7, c = 5 ii. 2m² = 5m – 5 ∴ 2m – 5m + 5 = 0 Comparing the above equation with am² + bm + c = 0, we get a = 2, b = -5, c = 5 iii. y² = 7y ∴ y² – 7y + 0 = 0 Comparing the above equation with ay² + by + c = 0, we get a = 1, b = -7, c = 0

Compare the given quadratic equations to the general form and write values of a, b, c.i. x2 – 7x + 5 = 0ii. 2m2 = 5m – 5iii. y2 = 7y

Answer»

i. x² – 7x + 5 = 0

Comparing the above equation with ax² + bx + c = 0, we get

a = 1, b = -7, c = 5

ii. 2m² = 5m – 5

∴ 2m – 5m + 5 = 0 Comparing the above equation with am² + bm + c = 0, we get

a = 2, b = -5, c = 5

iii. y² = 7y

∴ y² – 7y + 0 = 0

Comparing the above equation with ay² + by + c = 0, we get

a = 1, b = -7, c = 0