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Popular >

x^2+5x>= 3-x^2

Solution

x^{2} + 5 x \geq 3 - x^{2}

Solution

x \leq - 3 or x \geq \frac{1}{2}

+2

Interval Notation

(- \infty, - 3] \cup [\frac{1}{2}, \infty)

Decimal Notation

x \leq - 3 or x \geq 0.5

Solution steps

x^{2} + 5 x \geq 3 - x^{2}

Rewrite in standard form

2 x^{2} + 5 x - 3 \geq 0

Factor

2 x^{2} + 5 x - 3 : (2 x - 1) (x + 3)

(2 x - 1) (x + 3) \geq 0

Identify the intervals

x \leq - 3 or x \geq \frac{1}{2}

Popular Examples

solvefor z,w(-4+z)=mz+17 solve for

z, w (- 4 + z) = m z + 17

factor n^2+n-56 factor

n^{2} + n - 56

(4 x) \frac{1}{2} = 6

simplify (v^3w^{-3})/(-v^{-6)w^3}simplify

\frac{v ^{3} w ^{- 3}}{- v ^{- 6} w ^{3}}

factor x^4-6x^2+8 factor

x^{4} - 6 x^{2} + 8

Frequently Asked Questions (FAQ)

What is x^2+5x>= 3-x^2 ?
The solution to x^2+5x>= 3-x^2 is x<=-3\lor x>= 1/2