If -5 is a root of the quadratic equation 2x^(2)+px-15=0 , then
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2x^2+px-15=0
2×-5^2+p×-5-15=0
2×25+-5p -15 =0
50 -5p - 15=0
35-5p=0
-5p=-35
p=7
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Answered by
1
Given :
- If -5 is a root of the quadratic equation 2x² + px - 15 = 0
To find :
- value of P
Solution :
2x² + Px - 15 = 0
Since,-5 is the root of this quadratic equation.
So, 2 x (-5)² +p(-5) - 15 = 0
50 + 5p - 15 = 0
50 = 5p - 15
5p = 50 - 15
5p = 35
p = 35/5
p = 7
∴ value of p is 7
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