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Quadratic Equations

Question

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If – 5 is a root of the quadratic equation 2x² + px – 15 = 0 and the quadratic equation p(x² + x) + k = 0 has equal roots, find the value of k.

Solution

Solution not provided.
Ans. $7 over 4$

Some More Questions From Quadratic Equations Chapter

Check whether the following are quadratic equations:
x³ – 4x² – x + 1 = (x – 2)³.

Represent the following problem situations in the form of quadratic equations:
The product of two consecutive positive integers is 306. We need to find the integers.

Represent the following problem situations in the form of quadratic equations:
Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.

Find the roots of the following quadratic equations by factorisation method:
x² – 3x – 10 = 0

Find the roots of the following quadratic equations by factorisation method:
2x² + x – 6 = 0

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