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If a,b, are real, then show that the roots of the equation `(x-a)(x-b) = b^2` are always real.

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UNITED BOOK HOUSE-SPRINGDALE HIGH SCHOOL-EXERCISE
  1. The population of a town is 8000. After how many years the population ...

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  2. In a business A invests Rs 600 and B invests Rs 900 for 4 month. If A'...

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  3. If a,b, are real, then show that the roots of the equation (x-a)(x-b) ...

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  4. Evaluate the value of sqrt(6+sqrt(6+sqrt(6+…..to I nfi nity)))

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  5. 6 is the mean proportional between two numbers x ad y and 48 is the th...

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  6. In triangleABC, angleA = 90^@ . A perpendicular AD from A to Bc is dra...

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  7. Two equal circles with radius 10cm. Intersect each other and the lengt...

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  8. Is sec theta<1 is possible? Give your argument.

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  9. If cos theta = 0.6 find the value of 5 sin theta -3 tan theta.

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  10. The surface areas of two spheres are in the ratio 1:9. Find the ratio ...

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  11. The perimeter of one surface of a cube is 20cm. What is the volume of ...

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  12. Calculate normality of 0.6% (w/v) of H2O2 (aq)

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  13. Calculate Median of the data given below : daily wages of 6 workers ...

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  14. A,B,C have started a partnership business by investing Rs 6,000 Rs 8,0...

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  15. Remenbabu deposits Rs 3,70,000 in total in three banks. The rates of s...

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  16. Solve: a/(ax-1)+b/(bx-1)=a+b (x!=1/a,1/b).

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  17. Ajay has written a two digit number in his copy of which the tens digi...

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  18. Simplify : (sqrt5+sqrt3)((3sqrt3)/(sqrt5+sqrt2)-sqrt5/(sqrt3+sqrt2))

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  19. If (3x-4y) prop sqrt(xy) then show that (x^2+y^2) prop xy.

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  20. Using the properties of proportion, solve for x, given (x^4+1)/(2x^2)=...

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