Respuesta :
Hey there!
40 - x^2 = 0
-x^2 + 40 = 0
SUBTRACT 40 to BOTH SIDES
-x^2 + 40 - 40 = 0 - 40
SIMPLIFY IT!
-x^2 = -40
DIVIDE -1 to BOTH SIDES
-x^2/-1 = -40/-1
SIMPLIFY IT!
x = ± 2√10
Therefore, your answer is:
x = 2√10 or x = x = -2√10
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
We are given with a quadratic equation and have to find its solution(s) :
[tex]{:\implies \quad \sf 40-x^{2}=0}[/tex]
Transpose x² to RHS ;
[tex]{:\implies \quad \sf x^{2}=40}[/tex]
[tex]{:\implies \quad \sf x=\pm \: \sqrt{40}}[/tex]
[tex]{:\implies \quad \sf x=\pm \: \sqrt{2\times 2\times 2\times 5}}[/tex]
[tex]{:\implies \quad \sf x=\pm \sqrt{\underline{\underline{2\times 2}}\times 2\times 5}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{x=\pm 2\sqrt{10}}}}[/tex]