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Popular >

x(1-x)<= 1/4

Solution

x (1 - x) \leq \frac{1}{4}

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

x (1 - x) \leq \frac{1}{4}

Rewrite in standard form

4 x - 4 x^{2} - 1 \leq 0

Factor

4 x - 4 x^{2} - 1 : - (2 x - 1)^{2}

- (2 x - 1)^{2} \leq 0

Multiply both sides by

- 1

(2 x - 1)^{2} \geq 0

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

5 x + 2 x + 20 = 48

9 w - 4 w + 6 \geq 1 + 5 w

log_{1/3}(27)=x

lo g_{\frac{1}{3}} (27) = x

- 5 \leq 3 x + 4 \leq 11

simplify 2pisqrt((0.5)/(9.8))simplify

2 π \frac{0.5}{9.8}

Frequently Asked Questions (FAQ)

What is x(1-x)<= 1/4 ?
The solution to x(1-x)<= 1/4 is True for all x