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One day I asked the son of my close frie...

One day I asked the son of my close friend about his age. The child replied in a different way. He said: "One year ago my dad was 8 times as old as me, and now his age (in years) is equal to the square of my age." Represent the above situation by a quadratic equation.

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Verified by Experts

The correct Answer is:
`x^(2)-8x+7=0`, which is the required quadratic equation.
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ZEN PUBLICATION-QUADRATIC EQUATIONS-ZEN ADDITIONAL QUESTIONS (SHORT ANSWER (SA) TYPE - 1 - QUESTIONS)
  1. Solve: sqrt(3)x^(2)+10x-8 sqrt(3)=0

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  2. What constant should be added and subtracted to solve the quadratic eq...

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  3. Find the nature of the roots of the quadratic equation sqrt(2)x^(2) - ...

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  4. Write the condition to be satisfied for the equation ax^(2)+2bx + c = ...

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  5. If the equation ax^(2)+bx+c=0 has equal roots, find c in terms of 'a' ...

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  6. For what value of K does 4x^(2)-2(K+1)x+(K+1)=0 have real and equal ro...

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  7. If 2 is the root of the quadratic equation 3x^(2)+px-8=0 and 4x^(2)-2p...

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  8. Show that the equation 2(a^(2)+b^(2))x^(2)+2(a+b)x+1=0 has no real roo...

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  9. Determine the condition for the roots of the equation ax^(2)+bx+c=0 to...

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  10. If 1/2 is a root of the equation x^(2)+Kx - 5/4 = 0, find the value of...

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  11. Find two consecutive odd numbers whose product is 99.

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  12. The difference of two natural numbers is 3 and the difference of their...

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  13. Sum of a number and its reciprocal is 5 1/5. Find the number.

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  14. Find a natural number whose square diminished by 84 is equal to thrice...

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  15. A two-digit number is 4 times sum of its digits. It is also equal to 3...

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  16. One day I asked the son of my close friend about his age. The child re...

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  17. Solve 2x^(2)-5x+3 = 0 by using formula.

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  18. Solve the equation x^2-3x-10=0 by using formula.

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  19. The length of a rectangular field is 3 time its breadth . If the area ...

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  20. Find the discriminant of the equation 2x^2-5x+3=0 and hence write the ...

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