Explanation

2x + 3y = 4 ... (1)

4x + 6y = 8 ... (2)

(2) is just (1) multiplied by 2.

Infinitely many solutions!

Last verified on 09-03-2026

Explanation

⁵√32a¹⁰

= ⁵√(2⁵ × a¹⁰)

= 2a²

Last verified on 09-03-2026

Explanation

3! = 6

4⁶ / 8⁴

= (2²)⁶ / (2³)⁴

= 2¹² / 2¹²

= 1

Last verified on 09-03-2026

Explanation

(15y) × (3y) = 45y²

Last verified on 09-03-2026

Explanation

(x-3)² + (x+1)² = (x+5)²

x² - 6x + 9 + x² + 2x + 1 = x² + 10x + 25

2x² - 4x + 10 = x² + 10x + 25

x² - 14x - 15 = 0

(x-15)(x+1) = 0

x = 15 or x = -1

x = 15 fits the given lengths are positive.

Last verified on 09-03-2026

Explanation

log(6^x + 2⁶) = 2

Assuming log is base 10,

⇒ 10² = 6^x + 2⁶

⇒ 100 = 6^x + 64

⇒ 6^x = 36

⇒ 6^x = 6²

⇒ x = 2

Last verified on 09-03-2026

Explanation

2²⁰ ÷ 2⁴ = 2¹⁶

√(2¹⁶) = 2⁸ = 256

Last verified on 09-03-2026

Explanation

log₃(108 - 3^x) = 4

⇒ 3^4 = 108 - 3^x

⇒ 81 = 108 - 3^x

⇒ 3^x = 108 - 81

⇒ 3^x = 27

⇒ 3^x = 3^3

⇒ x = 3

Last verified on 09-03-2026

Explanation

• UNICODE() function returns the numeric Unicode value (code point) of the first character in a text string.
• It helps identify the character code used in Unicode encoding.
• Useful when working with different languages and symbols.

Last verified on 09-03-2026

Explanation

• DAYS360() function in MS Excel 2016 calculates the number of days between two dates based on a 360-day year.
• This method is commonly used in financial and accounting calculations.
• It assumes 12 months × 30 days = 360 days.

Last verified on 09-03-2026