Question
Download Solution PDFयदि x2 – hx – 21 = 0, x2 -3hx + 35 = 0(h > 0) का मूल सार्व है, तो h का मान क्या होगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदोनों समीकरणों को घटाने पर,
(x2 – hx – 21)-( x2 -3hx + 35) = 0
हमें प्राप्त होगा 2hx = 56 अथवा hx = 28
hx का मान समीकरण 1 में रखने पर,
x2 – hx – 21 = 0
x2 – 28 – 21 = 0
x2 = 49
x = 7
h = 28/x = 28/7 = 4
हम केवल x का धनात्मक मान लेंगे क्योंकि h > 0 है (जैसा की प्रश्न में दिया गया है)
x के ऋणात्मक मान से, हमें h का ऋणात्मक मान प्राप्त होगा
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