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

Explanation

3x + 1 = x

3x - x = -1

2x = -1

x = -1/2

Last verified on 12-10-2026

Explanation

If x = -3, then

x^2 + 3x + 3

= (-3)^2 + 3*(-3) + 3

= 9 - 9 + 3

= 3

Last verified on 12-10-2026

Explanation

7x = 91

x = 91 / 7

x = 13

Last verified on 10-10-2026

Explanation

Given:

4x − 2y = 10 ...(1)

2x + y = 5 ...(2)

Multiply equation (2) by 2:

4x + 2y = 10 ...(3)

Add equations (1) and (3):

8x = 20

x = 20 ÷ 8

x = 2.5

Last verified on 09-10-2026