the roots of the equation 9x2-bx+81=0
Answers
Answer:
tell the value of B..............
Correct Question :-----
if the roots of the equation 9x²-bx+81=0 are Equal than find the value of b ? .
Concept used :------
If A•x^2 + B•x + C = 0 ,is any quadratic equation,
then its discriminant is given by;
D = B^2 - 4•A•C
• If D = 0 , then the given quadratic equation has real and equal roots.
• If D > 0 , then the given quadratic equation has real and distinct roots.
• If D < 0 , then the given quadratic equation has unreal (imaginary) roots.
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Solution :-------
Here ,
→ a = 9
→ b = (-b)
→ c = 81 .
Since Roots are Equal ..
Than ,
b²-4ac = 0 ,
putting values now we get,
→ (-b)² - 4×9×81 = 0
→ b² = 4 × 9 × 9 × 9
→ b = √(2*2*3*3*9*9)
→ b = 2*3*9 = 54 ..
Hence, value of B is 54 ....
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