Question

cheek whether the following are quadratic equations (x+1)2=2(x-3)​

Answer 1

Answer:

2x ² + 2 = 2x - 6

2x² - 2x + 8 = 0 is a quadratic equations

Answer 2

Answer:

Hence , it's a Qudratic equation

• x² + 0x + 7 = 0

Given:

• Qudratic equation: (x+1)² = 2(x-3)

Solution:

⟶ (x+1)² = 2(x-3)

As we know that formula:

• (a+b)² = a² + b² + 2ab

⟶ x² + 1²+ 2 × x × 1 = 2 (x-3)

⟶ x² + 1 + 2x = 2x - 6

⟶ x² + 1 + 2x - 2x + 6 = 0

⟶ x² + 1 + 6 = 0

⟶x² + 7 = 0

⟶ x² + 0x + 7 = 0

so, As we know that ax² + bx + c = 0

x² + 0x + 7 = 0

where,

• a = 1

• b = 0

• c = 7

∴ Hence, it's a Qudratic equation

Explanation more:

• Qudratic equation is an equation that can be written in standard form

• ax² + bx + c = 0

• where a , b and c are real number and a is not qual to zero

• Example: 3x² + 4x + 2 = 0