Answer:
SQUARE ROOT:
1. x = ±3
2.
[tex]x = 5 \sqrt{5} [/tex]
[tex]x = - 5 \sqrt{5} [/tex]
Completing the square: The given equation was incomplete. please ask your teacher the complete given equation. the other numerical term it must have a variable.
QUADRATIC EQUATION:
1. x = 1 and x = –3
Step-by-step explanation:
SOLUTIONS:
SQUARE ROOT:
[tex]1.x {}^{2} = 9[/tex]
[tex] \sqrt{x {}^{2} } = \sqrt{9} [/tex]
x = ±3
2.
[tex]x {}^{2} = 125[/tex]
[tex] \sqrt{x {}^{2} } = \sqrt{25 \times 5} [/tex]
[tex]x = 5 \sqrt{5} [/tex]
[tex]x = - 5 \sqrt{5} [/tex]
QUADRATIC EQUATION:
1.
[tex]2x {}^{2} + 4x = 6[/tex]
[tex]2x {}^{2} + 4x - 6 = 0[/tex]
a= 2
b = 4
c = –6
CLICK THE PHOTO FOR THE SOLUTION
CHECKING:
X = 1
[tex]2x {}^{2} + 4x = 6[/tex]
[tex]2(1) {}^{2} + 4(1) = 6[/tex]
[tex]2 + 4 = 6[/tex]
[tex]6 = 6[/tex]
X = –3
[tex]2x {}^{2} + 4x = 6[/tex]
[tex]2( - 3) {}^{2} + 4( - 3) = 6[/tex]
[tex]2(9) - 12 = 6[/tex]
[tex]18 - 12 = 6[/tex]
[tex]6 = 6[/tex]
