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If (f(x)=x^2-1) and (g(x)=2x-2), what are the solutions of ((f-g)(x)=0)?यदि (f(x)=x^2-1) और (g(x)=2x-2) हैं, तो ((f-g)(x)=0) के हल कौन से हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ({1,3})({1,3})
((f-g)(x)=x^2-2x+1=(x-1)^2), so the only solution is (x=1). A square is zero only when its inside term is (0).((f-g)(x)=x^2-2x+1=(x-1)^2), इसलिए केवल (x=1) हल है। पूर्ण वर्ग शून्य तभी होता है जब अंदर का पद (0) हो।
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