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CBSE Class 10 Answered

Find the values of a for which the equation a²x²+2(a+1)x+4=0
Asked by vikasg13.hardware | 07 Aug, 2018, 04:55: PM
answered-by-expert Expert Answer
a²x² + 2(a + 1)x + 4 = 0
begin mathsize 16px style straight D equals open square brackets 2 open parentheses straight a plus 1 close parentheses close square brackets squared minus 4 cross times straight a squared cross times 4 straight D equals 4 open parentheses straight a plus 1 close parentheses squared minus 16 straight a squared straight D greater or equal than 0 4 open parentheses straight a plus 1 close parentheses squared minus 16 straight a squared greater or equal than 0 Solving space this space we space get minus 12 straight a squared plus 8 straight a plus 4 greater or equal than 0 12 straight a squared minus 8 straight a minus 4 less than 0 3 straight a squared minus 2 straight a minus 1 less than 0 left parenthesis 3 straight a plus 1 right parenthesis left parenthesis straight a minus 1 right parenthesis less than 0 Case space straight i straight a minus 1 less than 0 space or space 3 straight a plus 1 greater than 0 straight a less than 1 space or space straight a greater than fraction numerator negative 1 over denominator 3 end fraction rightwards double arrow straight a element of open parentheses fraction numerator negative 1 over denominator 3 end fraction comma 1 close parentheses Case space ii straight a minus 1 greater than 0 space or space 3 straight a plus 1 less than 0 straight a greater than 1 space or space straight a less than fraction numerator negative 1 over denominator 3 end fraction rightwards double arrow straight a element of open parentheses negative infinity comma fraction numerator negative 1 over denominator 3 end fraction close parentheses union open parentheses 1 comma infinity close parentheses end style
Answered by Sneha shidid | 08 Aug, 2018, 10:09: AM

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