Find the square root of 289x4 – 612x3 + 970x2 – 684x + 361

Find the square root of 289x⁴ – 612x³ + 970x² – 684x + 361

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Square Root of Polynomials

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पाठ 3: Algebra - Unit Exercise – 3 [पृष्ठ १५७]

पाठ 3 Algebra
Unit Exercise – 3 | Q 9 | पृष्ठ १५७

Find the square root of the following

4x² + 20x + 25

Find the square root of the following

9x² – 24xy + 30xz – 40yz + 25z² + 16y²

Find the square root of the following

`1 + 1/(x^6) + 2/(x^3)`

Find the square root of the following polynomials by division method

16x⁴ + 8x² + 1

Find the square root of the following polynomials by division method

121x⁴ – 198x³ – 183x² + 216x + 144

The square root of `(256x^8y^4z^10)/(25x^6y^6z^6)` is equal to

The values of a and b if 4x⁴ – 24x³ + 76x² + ax + b is a perfect square are

If the roots of the equation q²x² + p²x + r² = 0 are the squares of the roots of the equation qx² + px + r = 0, then q, p, r are in __________

If α and β are the roots of the polynomial f(x) = x² – 2x + 3, find the polynomial whose roots are `(alpha - 1)/(alpha + 1), (beta - 1)/(beta + 1)`

If – 4 is a root of the equation x² + px – 4 = 0 and if the equation x² + px + q = 0 has equal roots, find the values of p and q.