Question

4. If the sum of the squares of the quadratic polynomial 3x2+5x +k is -2/3 , then the value of k is?
​

Answer 1

Answer:

k= -1

Step-by-step explanation:

${3x}^{2} + 5x + k = 0$

putting ,

Let a,b be the zeros of the polynomial.

Then,

1. a+b=-⅔
2. ab=k

Given,

${3x}^{2} + 5x + k = 0$

• For each quadratic equation, there may be one or multiple solution.
• These are known as the roots of the quadratic equation.

For a quadratic equation ax²+bx+c = 0,

• the sum of its roots = –b/a
• the product of its roots = c/a.

$(a+b) ² = -2ab = -⅔\\(-⅔) (-⅔) - 2(k/3) = -⅔\\-⅔ - 2k/3 = 0\\3/2k = -⅔\\1 / k = -1\\k = - 1$

A quadratic equation can be expressed as a made of binomials.

(#SPJ3)

Answer 2

Answer:

Given: If the sum of the squares of the quadratic polynomial 3x2+5x +k is -2/3

To find: The value of k

Step-by-step explanation:

#SPJ3