Question

Anyone help with number 5, just the one.

Answer 1

Answer:

5) a)real

b) imaginary

Step-by-step explanation:

Answer 2

Question :

• If the roots of a quadratic equation are _____ numbers, can be solved by factorization
• If the roots of a quadratic equation are _____ numbers can't be solved by factorization

Required Solution :

• If the roots of a quadratic equation are real numbers, can be solved by factorization
• If the roots of a quadratic equation are imaginary numbers can't be solved by factorization

Detailed Explanation :

Q1. If the roots of a quadratic equation are ___ numbers , it can be solved by factorization

A. If the roots of a quadratic equation are real numbers can't be solved by factorization

❍Reason :

✰When the roots of a quadratic equation are real then there would exist solutions of the quadratic equation which belong to the set of real numbers.

★The equation can be solved by factorization ( Splitting the middle term ) or by other methods such as completing square method.

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Q2. If the roots of a quadratic equation are _____ numbers can't be solved by factorization

A. If the roots of a quadratic equation are Imaginary numbers can't be solved by factorization

❍ Reason :

✰ When the roots of a quadratic equation are imaginary then the roots of the equation belong to the set of complex numbers

★ Thus , the methods such as factorization wouldn't be suitable to obtain the solution as the middle term can't be splitted accordingly such that the equation could be factorised

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More to know :

❍ For an quadratic equation of the form ax² + bx + c = 0 , D = b² - 4ac > 0

• D > 0 - Roots are real and distinct
• D = 0 - Roots are real and equal
• D < 0 - Roots are imaginary and complex

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