Question

Q5. If a and b are the zeroes of the following polynomial , then the value of 1/a + 1/b is * 2x²-7x+6​

Answer 1

EXPLANATION.

→ a and b are the zeroes of the polynomial

x² - 7x + 6

→ To find the value of 1/a + 1/b.

→ sum of zeroes of quadratic equation.

a + b = -b/a

a + b = 7 ........(1)

→ products of zeroes of quadratic equation

ab = c/a

ab = 6/2 = 3 .......(2)

→ 1/a + 1/b

→ a + b / ab

→ 7/3

→Therefore,

→ value of 1/a + 1/b = 7/3.

More information.

→ General equation of Quadratic polynomial.

ax² + bx + c = 0.

→ D > 0 → roots are real and unequal.

→ D = 0 → roots are real and equal.

→ D < 0 → roota are imaginary.

Answer 2

Answer:

QuEsTiOn

If a and b are the zeroes of the following polynomial , then the value of 1/a + 1/b is * 2x²-7x+6

Solution

1️⃣Sum of quadratic equations

➡️ a + b= -b /a

➡️ a + b = 7

2️⃣ Product of zeroes of quardtic equation

➡️ ab = c/a

➡️ ab = 6/2 = 3

➡️ 1/a + 1/b

➡️ a + b/ab

➡️ 7/3

➡️ 2⅓

$\small \fbox {So, the value 1/a + 1/b = 2 ⅓}$