Question

if sum of the zeroes of the quadratic polynomial 2x²- kx+4 is 6 then find the value of k​

Answer 1

Required Answer:-

Given Information:

• The sum of zeroes of Quadratic Polynomial 2x² - kx + 4 is 6.

To find:

• The value of k.

Answer:

• The value of k is 12.

Solution:

Given equation,

➡ 2x² - kx + 4 = 0

Here,

a(coefficient of x²) = 2

b(coefficient of x) = -k

c (coefficient of x^0) = 4

We know that,

Sum of zeros = -b/a

➡ Sum of zeros = -(-k)/2 = k/2

Given that,

Sum of zeros = 6

According To The Given Condition,

➡ k/2 = 6

Multiplying both sides by 2, we get,

➡ k = 12

Hence, the value of k is 12.

Learn More:-

• The general form of quadratic equation is ax² + bx + c = 0 where a ≠ 0 and a, b, c are real numbers.
• Quadratic equation can be solved by splitting the middle term.
• After splitting the middle term, it is factorised by grouping method.
• After factorisation is completed, roots are calculated by Zero product rule.
• Since, factorisation of quadratic polynomial is done by splitting the middle term, it is also known as middle term factorisation.