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Quadratic Equations

Question

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The difference of squares of two natural number is 45. The square of the smaller number is four times the larger number. Find the numbers.

Solution

Solution not provided.
Ans. 9, 6 or 9, -6

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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