Explanation

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

x - 1 = 0 , x =1

x + 5 =0 , x = -5

Set: { 1, -5}

Explanation

• A point is written as (x,y). When the y-coordinate is zero, the point lies on the x-axis.
• For example, (3,0) and (−5,0) both lie on the x-axis.
• The origin (0,0) lies on both the x-axis and the y-axis.

Last verified on 22-10-2026

Explanation

Formula: (x + 1/x)^2 = x^2 + 1/x^2 + 2

So

x^2 + 1/x^2 = (x + 1/x)^2 - 2

= 5^2 - 2

= 25 - 2

= 23

Last verified on 20-10-2026

Explanation

3(x - 4) + 2 = 2x + 9

3x - 12 + 2 = 2x + 9

3x - 10 = 2x + 9

3x - 2x = 9 + 10

x = 19

Last verified on 20-10-2026

Explanation

For equation 2x^2 - 4x - 3 = 0

a=2, b=-4, c=-3

Discriminant = b^2 - 4ac

= (-4)^2 - 4_2_(-3)

= 16 + 24

= 40

Last verified on 16-10-2026

Explanation

x multiplied by eight is 8x and increased by 5 is x + 5.

so 8x = x + 5

Last verified on 15-10-2026

Explanation

Calculate the cube root of 32768.

³√32768 = ³√32³ = 32

Last verified on 13-10-2026

Explanation

(x²+x−20)/(x²−4)

Step 1: Factorize the numerator and denominator.

Step 2: Write the simplified expression.

Explanation

Let the number be$x$.

According to the question:

Add 54 to both sides:

Divide by 3:

Explanation

We are given:

log₅ 125 = x

We know that:

125 = 5³

So,

log₅ 125 = log₅ (5³) = 3

Last verified on 12-10-2026