Question

if root3 -1 / root3 +1 = a+b root3 find the value of a+b

Answer 1

Answer:

the side length of a square can be represented by 2x + 10 and its area is 256 square units, find the value of x.

Answer by MathLover1(18923) (Show Source): You can put this solution on YOUR website!

If the side length of a square can be represented by 2x+%2B+10 and its area is 256units%5E2, find the value of x.

the area is %282x+%2B+10%29%282x+%2B+10%29=256units%5E2

4x%5E2%2B20x%2B20x+%2B+100=256units%5E2

4x%5E2%2B40x+%2B+100-256units%5E2=0

4x%5E2%2B40x-156units%5E2=0...use quadratic formula

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%28-40+%2B-+sqrt%28+40%5E2-4%2A4%2A%28-156%29+%29%29%2F%282%2A4%29+

x+=+%28-40+%2B-+sqrt%28+1600%2B2496%29%29%2F8+

x+=+%28-40+%2B-+sqrt%28+4096%29%29%2F8+

x+=+%28-40+%2B-+64%29%2F8+

use only positive solution because the length cannot be negative

x+=+%28-40+%2B+64%29%2F8+

x+=+24%2F8+

x+=+3+

so, the length is: 2x+%2B+10 ....->...2%2A3+%2B+10=6%2B10=16units

the area is16units%2A16units=256units%5E2