The coefficient is a number before a variable.
Here, the coefficient is 9.
The like terms are any terms that have the same variable.
Here, 9k and -k are like terms, and 7 and 4 are like terms as well.
Combine like terms:
8k+3
The constants are: 7 and 4 (Constants are numbers in an expression or equation)
After combining like terms, the constant became
3
Answer:
The value of k is
The roots are -1 and
Step-by-step explanation:
In any quadratic equation the sum of its roots is
and the product of its root is
In the equation
The sum is
The product is
∵ The sum of the roots is twice their product
∴
∴ ⇒Multiply both sides by k
1 + k = 6k + 4⇒ 1 - 4 = 6k - k
5k = -3 ⇒
Use the value of k in the equation:
⇒ Multiply equation by 5
⇒ Multiply equation by -1
⇒ use factorization to find roots
(3x - 1)(x + 1) = 0
3x -1 = 0⇒ 3x = 1⇒ x = 1/3
x + 1 = 0⇒ x = -1
The roots are 1/3 and -1