Selesaikan 2x^2geq50 | Microsoft Math Solver

Atasi untuk x

x \in (- \infty, - 5] \cup [5, \infty)

Langkah Solusi

2 x^{2} \geq 50

Bagi kedua sisi dengan

2

. Karena

2

adalah

> 0

, arah pertidaksamaan tetap sama.

x^{2} \geq \frac{5 0}{2}

Bagi

50

dengan

2

untuk mendapatkan

25

x^{2} \geq 25

Hitung akar kuadrat dari

25

dan dapatkan

5

. Tulis ulang

25

sebagai

5^{2}

x^{2} \geq 5^{2}

Pertidaksamaan berlaku untuk

∣ x ∣ \geq 5

∣ x ∣ \geq 5

Tulis ulang

∣ x ∣ \geq 5

sebagai

x \leq - 5; x \geq 5

x \leq - 5; x \geq 5

Grafik

Kuis

Algebra

5 soal serupa dengan:

2 x^{2} \geq 50

Soal yang Mirip dari Pencarian Web

4 - x^{2} \geq 0

isn't

x \leq \pm 2

? I don't understand how

- 2 \leq x \leq 2

is a result.

https://socratic.org/questions/if-4-x-2-0-isn-t-x-2-i-don-t-understand-how-2-x-2-is-a-result

Please see below. Explanation: As

4 - x^{2} \geq 0

, we have

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

This means product of

(2 - x)

...

How do I solve

∣ - 2 x^{2} + 1 + e^{x} + sin x ∣ = ∣ 2 x^{2} - 1 ∣ + e^{x} + ∣ sin x ∣

where x belongs to [0,2π]?

https://math.stackexchange.com/questions/3104697/how-do-i-solve-2x21ex-sin-x-2x2-1ex-sin-x-where-x-belongs-to

We have where "same sign" is in the non-strict sense, that is, all

\geq 0

or all

\leq 0

. In ...

Which pairs of positive integers (푥,푛) satisfy

푥^{2} - 2^{푛} = 153

https://math.stackexchange.com/questions/2919551/which-pairs-of-positive-integers-satisfy-2%e2%88%922-153

n

must be even.

153 = 3^{2} \cdot 17

x^{2} - 2 y^{2}

is divisible by

3,

then both

x, y

are divisible by

3 .

Since this

y

would be a power of

2

this is impossible. So

n

is ...

Upper bound for a ratio of two least common multiples

https://math.stackexchange.com/questions/3026176/upper-bound-for-a-ratio-of-two-least-common-multiples

HINT

1

Note that

r (x) = \frac{l c m ( x ^{2} + x )}{l c m ( x ^{2} )} \cdot \frac{( x ^{2} ) #}{( x ^{2} + x ) #} = \prod_{p_{k} < x + 1} p_{k}^{[l o g_{p_{k}} (x^{2} + x)] - [l o g_{p_{k}} (x^{2})]} .

Calculations ...

Calculate

\int_{- 1}^{1} (1 - x^{2})^{3} d x

using Integration by parts or substitution technique

https://math.stackexchange.com/questions/2216301/calculate-int1-1-sqrt1-x23-dx-using-integration-by-parts-or-substit

1 - x^{2}

" should immediately make you think about the substitution

x = sin u

, as

1 - x^{2} = 1 - sin^{2} u = cos^{2} u

. So let

x = sin u

, then

d x = cos u d u

and note that

sin (- \frac{π}{2}) = - 1

...

Salin

Disalin ke clipboard

x^{2}\geq \frac{50}{2}

Bagi kedua sisi dengan 2. Karena 2 adalah >0, arah pertidaksamaan tetap sama.

x^{2}\geq 25

Bagi 50 dengan 2 untuk mendapatkan 25.

x^{2}\geq 5^{2}

Hitung akar kuadrat dari 25 dan dapatkan 5. Tulis ulang 25 sebagai 5^{2}.

|x|\geq 5

Pertidaksamaan berlaku untuk |x|\geq 5.

x\leq -5\text{; }x\geq 5

Tulis ulang |x|\geq 5 sebagai x\leq -5\text{; }x\geq 5.

Masalah Serupa

3 x + 4 > 6

x + y < 0

5 > 2 x + 3

- 2 < 3 x + 2 < 8

2 x^{2} \geq 50

\frac{5}{3 x + 3} \leq 8

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