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If -5 is a root of …

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If -5 is a root of equation 2x square+ px -15=0 and p(x square+x)+k=0 has equal roots.Find value of k
  • 4 answers

Nitin Dadhich 6 years, 10 months ago

-140 is the value of K

Abhay Modi 6 years, 10 months ago

As -5 is a root of the equation 2x^2+px-15=0 so it is also a root of the equation p(x^2+x)+k=0 Now, 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 =>5p=35 =>p=7 Now,putting p=7 and x=-5 in the equation p(x^2+x)+k=0, we get, p(x^2+x)+k=0 =>7{(-5)^2+(-5)}+k=0 =>7(25-5)+k=0 =>7×20+k=0 =>140+k=0 =>k=-140

Aditya Sharma Sarswat 6 years, 10 months ago

Not sure but shayad k = √5/4

Karan Kumar 6 years, 10 months ago

Take x = -5
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