Difference between revisions of "1959 AHSME Problems/Problem 38"

(Created page with " If 4x + √2x = 1, then x (A) is an integer (B) is fractional (C) is irrational (D) is imaginary (E) may have two different values")
 
 
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If 4x +
+
Subtract 4x from both sides so you get:
√2x = 1, then x
+
<math>\sqrt{2x}=1-4x</math>
(A) is an integer
+
 
(B) is fractional
+
Then just square and simplify to get:
(C) is irrational
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<math>x=\frac{1}{8}</math>
(D) is imaginary
+
 
(E) may have two different values
+
This is answer choice B.

Latest revision as of 16:22, 3 March 2019

Subtract 4x from both sides so you get: $\sqrt{2x}=1-4x$

Then just square and simplify to get: $x=\frac{1}{8}$

This is answer choice B.