1c:I[1254,["7330","static/chunks/d3ac728e-78c3d5d7a486ed3a.js","5159","static/chunks/5159-48592f0bf1a47f9d.js","8175","static/chunks/8175-f84d59b9bd013e10.js","8167","static/chunks/8167-b25693a0140130f2.js","664","static/chunks/664-bceb0f356f9312eb.js","3703","static/chunks/app/practice-question/%5Bslug%5D/page-d1408559b663b83f.js"],"PracticeQuestionCard"] 1b:T485,{"@context":"https://schema.org","@type":"QAPage","name":"If x2 = y + z, y2 = z + x, z2 = x + y, then the value of 1x + 1 + 1y…","url":"https://vidyalelo.com/practice-question/if-x2-y-z-y2-z-x-z2-x-y-then-the-value-of-frac1x-1-frac1y-1-frac1z-95052","keywords":"practice questions, MCQ, MCQs with answers, objective questions, competitive exam questions, Competitive Exams, Competitive Exams MCQ, Competitive Exams MCQs, Competitive Exams questions, Competitive Exams practice questions, Aptitude, Aptitude MCQ, Aptitude MCQs, Aptitude questions, Aptitude practice questions, Algebra","mainEntity":{"@type":"Question","name":"If x2 = y + z, y2 = z + x, z2 = x + y, then the value of 1x + 1 + 1y…","text":"If x2 = y + z, y2 = z + x, z2 = x + y, then the value of 1x + 1 + 1y + 1 + 1z + 1 = \\,?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Option B. 1. Answer & Solution Answer: Option B Solution: & x^2 = y + z & y^2 = z + x & z^2 = x + y & x^2 + x = x + y + z & Adding x on both sides & x ( x + 1 ) = x + y + z & 1 ( x + 1 ) = xx + y + z & Similarly, & 1 ( y + 1 ) = yx + y + z & 1 ( z + 1 ) = zx + y + z & 1 ( x + 1 ) + 1 ( y + 1…"}}}1d:T4aa,

Answer & Solution

Answer: Option B

Solution:

$$\eqalign{ & {x^2} = y + z \cr & {y^2} = z + x \cr & {z^2} = x + y \cr & \Rightarrow {x^2} + x = x + y + z \cr & {\text{Addin

If x2 = y + z, y2 = z + x, z2 = x + y, then the value of 1x + 1 + 1y + 1 + 1z + 1 = \,?

Solution