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 =____
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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 .
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