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CBSE Class 10 Answered

Solve the quadratic polynomial using splitting the middle term. 4 x squared plus 4 b x minus left parenthesis a squared minus b squared right parenthesis equals 0 6 space. space left curly bracket left parenthesis x plus 1 right parenthesis squared minus left parenthesis x minus 1 right parenthesis squared right curly bracket equals 5 space. space left parenthesis x plus 1 right parenthesis left parenthesis x minus 1 right parenthesis
Asked by deorajsahoo143 | 23 Jan, 2020, 08:56: AM
answered-by-expert Expert Answer
Quadratic polynomial is
P(x)=6{(x+1)2 - (x-1)2}=5(x+1)(x-1)
P left parenthesis x right parenthesis equals 0 rightwards double arrow 6 open curly brackets open parentheses x plus 1 close parentheses squared minus open parentheses x minus 1 close parentheses squared close curly brackets equals 5 open parentheses x plus 1 close parentheses open parentheses x minus 1 close parentheses rightwards double arrow 6 open curly brackets open square brackets x plus 1 minus open parentheses x minus 1 close parentheses close square brackets open square brackets x plus 1 plus x minus 1 close square brackets close curly brackets equals 5 open parentheses x squared minus 1 close parentheses rightwards double arrow 6 open curly brackets 2 open square brackets 2 x close square brackets close curly brackets equals 5 x squared minus 5 rightwards double arrow 5 x squared minus 24 x minus 5 equals 0 rightwards double arrow 5 x squared minus 25 x plus x minus 5 equals 0 rightwards double arrow 5 x open parentheses x minus 5 close parentheses plus open parentheses x minus 5 close parentheses equals 0 rightwards double arrow open parentheses x minus 5 close parentheses open parentheses 5 x plus 1 close parentheses equals 0 rightwards double arrow x equals 5 space space o r space space x equals negative 1 fifth
Answered by Renu Varma | 23 Jan, 2020, 12:01: PM

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