Rubymistbell
Answered

Solve the equation

Also look for extraneous solutions

Please show your work and explain the steps

Solve the equation Also look for extraneous solutions Please show your work and explain the steps class=

Verified Answer :

rainbowdash8142

−3=−x+√​−2(x−3)​−3=−x+√​2(x−3)​​​ı−3+x=ı√​2(x−3)​​​
(x−3)​2​​=−2(x−3)6x​2​​−6x+9=−2x+6x​2​​−6x+9+2x−6=0x​2​​−4x+9−6=0x​2​​−4x+3=0(x−3)(x−1)=0x=3,1x=3

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-3 = -x + √(-2x + 6)
Squaring both sides, 
9 = -x² - 2x + 6
x² + 2x + 3 = 0
x² -x + 3x + 3 = 0
-x(x + 1) 3(x + 1)
(3 - x) (x + 1) = 0
x = 3 or -1

Hope this helps!

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