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Popular >

2x^2-9x+1>=-3

Solution

2 x^{2} - 9 x + 1 \geq - 3

Solution

x \leq \frac{1}{2} or x \geq 4

+2

Interval Notation

(- \infty, \frac{1}{2}] \cup [4, \infty)

Decimal Notation

x \leq 0.5 or x \geq 4

Solution steps

2 x^{2} - 9 x + 1 \geq - 3

Rewrite in standard form

2 x^{2} - 9 x + 4 \geq 0

Factor

2 x^{2} - 9 x + 4 : (2 x - 1) (x - 4)

(2 x - 1) (x - 4) \geq 0

Identify the intervals

x \leq \frac{1}{2} or x \geq 4

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Frequently Asked Questions (FAQ)

What is 2x^2-9x+1>=-3 ?
The solution to 2x^2-9x+1>=-3 is x<= 1/2 \lor x>= 4