Asked by Breanna
Please Solve:
a. 6x^2 = 36
b. 2x^2-20= 0
c. 4x^2+12=0
a. 6x^2 = 36
b. 2x^2-20= 0
c. 4x^2+12=0
Answers
Answered by
MathMate
a.
6x<sup>2</sup> = 36
x<sup>2</sup> = 36/6
x<sup>2</sup> = 6
x = sqrt(6)
b. and c. can be solved similarly.
Post if you could use additional help or would like to check answers.
6x<sup>2</sup> = 36
x<sup>2</sup> = 36/6
x<sup>2</sup> = 6
x = sqrt(6)
b. and c. can be solved similarly.
Post if you could use additional help or would like to check answers.
Answered by
Breanna
Could it be root - 6 as well cause
-6*-6 = 36?
-6*-6 = 36?
Answered by
MathMate
±sqrt(6) would be correct, approximately equal to ±2.449489742783178...
( 2.449...)<sup>2</sup> = 6
(-2.449...)<sup>2</sup> = 6
But sqrt(-6) would equal to sqrt(6)*i, a complex number.
( ±2.449...*i) <sup>2</sup>
= (±2.449...)<sup>2</sup> * i <sup>2</sup>
= 6*(-1)
=-6
( 2.449...)<sup>2</sup> = 6
(-2.449...)<sup>2</sup> = 6
But sqrt(-6) would equal to sqrt(6)*i, a complex number.
( ±2.449...*i) <sup>2</sup>
= (±2.449...)<sup>2</sup> * i <sup>2</sup>
= 6*(-1)
=-6
Answered by
Breanna
So am i correct? Can i use both root 6 and -root 6
Answered by
MathMate
The two roots are indeed root 6 and -root 6, but not root(-6).
Answered by
Breanna
Got it thanks!
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