Question

x²=1/2x-2 standard form give answer​

Answer 1

Answer:

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Step-by-step explanation:

In quadratic equations we will learn about ………

● Solving a quadratic equation (factorization method)

● Roots of the quadratic equation.

In polynomials, we studied that a polynomial of degree 1 is called a linear polynomials.

For example: x - 5, 7x, 3 - 2x are linear polynomials which may be monomials or binomials.

A polynomial of degree 2 (two) is called a quadratic polynomial.

For example: 3x², x² + 7 , x² – 3x + 4 are quadratic polynomials which may be monomials, binomials or trinomials.

Examples of quadratic equation

(i) 3x² - 6x + 1 = 0 is a quadratic equation.

(ii) x + (1/x) = 5 is a quadratic equation.

On solving, we get x × x + (1/x) × x = 5 × x

⇒ x² + 1 = 5x

⇒ x² - 5x + 1 = 0

(iii) √2x² - x - 7 = 0 is a quadratic equation.

(iv) 3x² - √x + 1 = 0 is not a quadratic equation, since the power of x must be a positive integer.

(v) x² - (1/x) + 7 = 0 is not a quadratic equation, since on solving it becomes an equation of degree 3.

(vi) x² - 4 = 0 is a quadratic equation.

(vii) x² = 0 is a quadratic equation.

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Answer 2

Standard form of quadratic equations is "ax² + bx + c = 0".

Here,
→ x² = (1/2)x - 2
→ x² + 2 = (1/2)x
→ 2(x² + 2) = (1)x
→ 2x² + 4 = x
→ 2x² - x + 4 = 0

Required form of quadratic equation is 2x² - x + 4 = 0