Answer to Question #285391 in Algebra for Alexander

Question #285391

How would i solve| (x-2)(x²+8x-1).                    (X+4)(x²-5x+9), I have to find the answer to these, then add them together.


1
Expert's answer
2022-01-10T06:07:09-0500
(x2)(x2+8x1)=0(x-2)(x^2+8x-1)=0

x2=0 or x2+8x1=0x-2=0 \text{ or }x^2+8x-1=0

x2=0=>x1=2x-2=0=>x_1=2

x2+8x1=0x^2+8x-1=0

x2+8x+16=17x^2+8x+16=17

(x+4)2=17(x+4)^2=17

x2=417,x3=4+17x_2=-4-\sqrt{17}, x_3=-4+\sqrt{17}


{417,4+17,2}\{-4-\sqrt{17},-4+\sqrt{17}, 2\}


(x+4)(x25x+9)=0(x+4)(x^2-5x+9)=0

x+4=0 or x25x+9=0x+4=0 \text{ or }x^2-5x+9=0

x+4=0=>x4=4x+4=0=>x_4=-4

x25x+9=0x^2-5x+9=0

D=(5)24(1)(9)=11<0D=(-5)^2-4(1)(9)=-11<0

There are no real solutions.


{4}\{-4\}

417+(4+17)+2+(4)=10-4-\sqrt{17}+(-4+\sqrt{17})+2+(-4)=-10


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