12.
1 answer:
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The two roots and
are called <u>conjugate</u> radicals
The conjugate of a radical is the value which when multiplied with the radical expression clears the radical. Conjugates have the same numbers but the opposite sign in the middle.
The given roots are
and
They have the same numbers but opposite signs in the middle.
Hence, the two roots and
are called <u>conjugate</u> radicals
Learn more on Conjugate radicals here: brainly.com/question/20523059
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1) Sketching it
Since the line segment AD = 10x -5 and AC= 3x +1 and CD= 15
According to the Segment Addition postulate we can write:
3x+1+15=10x-5 <em>Combining like terms</em>
3x +16 = 10x -5 <em>Subtract 16 from both sides</em>
3x = 10x-5-16 Subtract 10x from both sides
3x-10x =-21
-7x = -21
7x=21 <em>Dividing by 7 on both sides</em>
x=3
