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Find the values of a for which the roots...

Find the values of `a` for which the roots of the equation `x^2+a^2=8x+6a` are real.

A

`[2, 8]`

B

`[-2, 8]`

C

`[-8, 2]`

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Exercise
  1. If a,b,c are in GP, show that the equations ax^(2)+2bx+c=0 and dx^(2)+...

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  2. Fill in the blanks If the quadratic equations x^2+a x+b=0a n dx^2+b x+...

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  3. Find the values of a for which the roots of the equation x^2+a^2=8x+6a...

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  4. If the sum of the roots of the equation (a+1)x^2=(2a+3)x+(3a+4)=0 is -...

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  5. If one root of the equation (k-1)x^(2) - 10x+ 3 = 0 is the reciproca...

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  6. If b1. b2=2(c1+c2) then at least one of the equation x^2+b1x+c1=0 and ...

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  7. Solve |x^2+4x+3|+2x+5=0.

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  8. For a alt=0, determine all real roots of the equation x^2-2a|x-a|-3...

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  9. If 2+sqrt(3)i is a root of the equation x^2+p x+1=0 , then write the v...

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  10. If tan alpha tan beta are the roots of the equation x^2 + px +q =0(p!...

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  11. Root of the quadratic equation x^2+6x-2=0

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  12. If sum of the roots of ax^(2)+bx+c=0 is equal to the sum of the square...

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  13. For real x , the function (x-a)(x-b)//(x-c) will assume all real value...

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  14. If a(p+q)^2+2b p q+c=0 and a(p+r)^2+2b p r+c=0 (a!=0) , then which one...

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  15. If the roots of the equation a x^2+2b x+c=0 and b x^2-2sqrt(a c) x+b=0...

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  16. If a, b, c are real and x^3-3b^2x+2c^3 is divisible by x -a and x - b,...

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  17. if p and q are non zero constants, the equation x^2+px+q=0 has roots ...

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  18. The equation x^((3)/4 (log2x)^2+log2 x -(5)/(4))=sqrt(2) has :

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  19. cosα is a root of the equation 25x^2+5x−12=0,−1 lt x lt 0, then the va...

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  20. If a+b+c=0 then check the nature of roots of the equation 4a x^2+3b x+...

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