What is 5x^2+7x>= 3x^2+30 ?

The solution to 5x^2+7x>= 3x^2+30 is x = 5/2

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5x^2+7x>= 3x^2+30

5 x^{2} + 7 x \geq 3 x^{2} + 30

x \leq - 6 or x \geq \frac{5}{2}

Solution steps

5 x^{2} + 7 x \geq 3 x^{2} + 30

Rewrite in standard form

2 x^{2} + 7 x - 30 \geq 0

Factor

2 x^{2} + 7 x - 30 : (2 x - 5) (x + 6)

(2 x - 5) (x + 6) \geq 0

Identify the intervals

x \leq - 6 or x \geq \frac{5}{2}

16 n^{2} - 24 n + 9

- 3 d - 4 = 9 d + 7

8 x^{4} + 10 x^{2} - 3

\frac{2 x + 3}{5} < 2

7 x^{2} + 14 = 0

What is 5x^2+7x>= 3x^2+30 ?
The solution to 5x^2+7x>= 3x^2+30 is x<=-6\lor x>= 5/2