1.The sum af a number and its square root is equal to zero. Find the number
A.0
B.1
C.2
D.3
2.Fivetimes the square root of 1 less than a number is equal to 3 more than the number. Find the number
A.2 and 13
B.2 and 1
C.2 and 17
D.2 and 19
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1.The sum af a number and its square root is equal to zero. Find the number
A.0
B.1
C.2
D.3
2.Fivetimes the square root of 1 less than a number is equal to 3 more than the number. Find the number
A.2 and 13
B.2 and 1
C.2 and 17
D.2 and 19
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Answer:
1) A. 0
2) A. 2 and 13
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Verified answer
Answer:
. x + square root of x = 0
square root of x = - x
by squaring both sides
(square root of x)^2 = (-x)^2
x = x^2
x/x = x^2/x
1 = x Answer
To check:
x + square root of x = 0
1 + (square root of 1) = 0
1 + (+,-) 1 = 0
1 + 1 is not equal to 0; so
choose negative 1
1 - 1 = 0
Ans. x = 2 and x = 17
(5)square root of x - 1 = x + 3
by squaring both sides
25(x - 1) = (x + 3)^2
25x - 25 = x^2 + 6x + 9
x^2 + 6x - 25x + 9 + 25 = 0
x^2 - 19x + 34 = 0
(x - 17) (x - 2) = 0
x - 17 = 0 x - 2 = 0
x = 17 x = 2