Explanation

7x - 1 = 4x + 8

Add 1 to both sides:

7x = 4x + 9

Subtract 4x from both sides:

3x = 9

Divide both sides by 3:

x = 3

So, the value of x is 3.

Explanation

x = 3+ √8

x = (3+√8)(3-√8) / (3-√8)

x = (9 -8) / (3-√8)

x = 1/ (3 -√8)

Or we can write 1/x = (3-√8)

Put the value and find out

x² +(1/x²) = x² + (1/x)²

So x² + 1/ x² = (3 +√8)² + (3 -√8)²

= 9+6√8+8 + 9–6√8+8

= 34.

Explanation

Given polynomial: p(x) = x² - 4x + 3

Step 1: Factor the polynomial

p(x) = (x - 3)(x - 1)

Step 2: Find the zeros

Zeros are x = 3 and x = 1

Explanation

Let's check each equation by plugging in a = -5:

(3/5)a + 19 = 16

→ (3/5)(-5) + 19 = -3 + 19 = 16 → True

So, the equation (3/5)a + 19 = 16 has a solution of a = -5

Explanation

Let's calculate what needs to be added:

(7 + 2a - a² + 4a³) - (2a³ + a² - 3a - 1)

= 7 + 2a - a² + 4a³ - 2a³ - a² + 3a + 1

= 2a³ - 2a² + 5a + 8

Explanation

Given:

(x + 1)(x - 5) = 0

This implies:

x + 1 = 0 or x - 5 = 0

Solving for x:

x = -1 or x = 5

Explanation

Given x = 1:

x² + 1/x² = 1² + 1/1²

= 1 + 1

= 2

Explanation

b^3/B^2

= b^(3-2)

= b^1 = 1

The correct answer is 1.

Explanation

Let's factorize 2x^2 - 7x + 3. We need to find two numbers that multiply to 2 × 3 = 6 and add to -7. These numbers are -6 and -1.

So, 2x^2 - 7x + 3 = 2x^2 - 6x - x + 3

= 2x(x - 3) - 1(x - 3)

= (2x - 1)(x - 3)

Explanation

Given the point (3, -4), where x = 3 (positive) and y = -4 (negative):

Step 1: Determine the quadrant

In the Cartesian coordinate system, Quadrant IV has positive x-coordinates and negative y-coordinates.