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Popular >

3x^2+4x<= 15

Solution

3 x^{2} + 4 x \leq 15

Solution

- 3 \leq x \leq \frac{5}{3}

+2

Interval Notation

[- 3, \frac{5}{3}]

Decimal Notation

- 3 \leq x \leq 1.66666 \dots

Solution steps

3 x^{2} + 4 x \leq 15

Rewrite in standard form

3 x^{2} + 4 x - 15 \leq 0

Factor

3 x^{2} + 4 x - 15 : (3 x - 5) (x + 3)

(3 x - 5) (x + 3) \leq 0

Identify the intervals

- 3 \leq x \leq \frac{5}{3}

Popular Examples

f=A_{0}(0.022(5))

f = A_{0} (0.022 (5))

4 + ∣ 2 x + 1 ∣ = 7

2 x^{2} + 9 x + 24 = 0

simplify ((x^2y)^{-1/3}(xy)^{1/4})/((xy^{-2))^{1/12}}simplify

\frac{( x ^{2} y ) ^{- \frac{1}{3}} ( x y ) ^{\frac{1}{4}}}{( x y ^{- 2} ) ^{\frac{1}{12}}}

simplify 1*1/(197.927)*2/4*159.69 simplify

1 \cdot \frac{1}{197.927} \cdot \frac{2}{4} \cdot 159.69

Frequently Asked Questions (FAQ)

What is 3x^2+4x<= 15 ?
The solution to 3x^2+4x<= 15 is -3<= x<= 5/3