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determiner-les-coordonnes-de-X-et-Y-r-1-




Question Number 213060 by a.lgnaoui last updated on 29/Oct/24
determiner les coordonnes de  X et  Y  r=1
determinerlescoordonnesdeXetY\boldsymbolr=1
Commented by a.lgnaoui last updated on 29/Oct/24
Commented by Frix last updated on 29/Oct/24
 { (((x^2 /(16))+(y^2 /4)=1)),(((x−2)^2 +(y−(√3))^2 =1)) :}   { ((x^2 =16−4y^2 )),((x^2 +y^2 −4x−2(√3)y+6=0)) :}  Inserting and solving for x  x=−((3y^2 +2(√3)y−22)/4)  Inserting and transforming  y^4 +((4(√3))/3)y^3 −((56)/9)y^2 −((88(√3))/9)y+((76)/3)=0  This has no useable exact solutions.  y≈1.36205409 ⇒ x≈2.92903306  y≈1.93380767 ⇒ x≈1.02056436  X= (((1.02)),((1.93)) )  Y= (((2.93)),((1.36)) )
{x216+y24=1(x2)2+(y3)2=1{x2=164y2x2+y24x23y+6=0Insertingandsolvingforxx=3y2+23y224Insertingandtransformingy4+433y3569y28839y+763=0Thishasnouseableexactsolutions.y1.36205409x2.92903306y1.93380767x1.02056436X=(1.021.93)Y=(2.931.36)
Commented by a.lgnaoui last updated on 29/Oct/24
exact.thank you
exact.thankyouexact.thankyou

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