Question

One of root of quadratic equation 5x²+2x+k=0 is -7/5 complete the following activity to find the value of K.
-7/5 is the root of quadratic equation 5x² + 2x +k=0
substitude x= -7/5 in the equation.
5 x ____+ 2x ____+ k = 0
____ -_____k=0
_____+ k = 0
k =____ ​

Answer 1

Answer:

Value of K = -7

Step-by-step explanation:

Given Quadratic Equations = 5x² + 2x +k = 0

where, x = -7/5

Substitute the value of x = -7/5 in given Equation

→ 5x² + 2x +k = 0

→ 5 (-7/5)² + 2(-7/5) + k = 0

→ 5 × 49/25 - 14/5 + k = 0

→ 49/5 - 14/5 + k = 0

→ k = 14/5 - 49/5

→ k = -35/5

→ k → -7

• Hence, the Value of K is -7 .