Solve Q8, 9 & 10 showing clearly all steps involved The roots of the equation: x+ px +q = 0 are a and B without solving the equation, form%3Dthe quadratic equation whose roots are a? + aß and B+ aß9. The equation x+ (- 1)x + 1 = 0 has roots a and B. Find without solving this equation thevalues of A for which a) a and ß are equal b) = 2B.L0. The roots of the quadratic equation x+ 3x + 7=0 are a and B. Form a quadratic equationwith roots a - 2B and B - 2aN. Given that a + 1 and ß +1 are roots of the equation 2x-bx + b = 0, where b is a constant,find the quadratic equation whose roots are a and B".e12. Given that a is a real censtant, prove that the roots a and ß of the quadratic equation(x – a)(x – 2) + x(x - a) + (x – 2) = 0are real. Find the value of a in the case= 3B.13.(i) if the roots of the quadratic equation: x? + bx + c = 0 are a and ß. find a quadratic equation|%3D11whose roots are: a +- and B +-.(M) Given that f(x) = px² – 2x + 3p + 2, find two values of p for which the equationf(x} = 0 has real roots.x²-2x-11(ii) Show that for real values of x # 3.cannot take any value between-4 and12.

The roots of the equation: x+ px +q = 0 are a and B without solving the equation. form the quadratic equation whose roots are a? + aß and B+ aß 9. The equation x+ (-1 )x + 1 = 0 has roots a and B. Find without solving this equation the values of A for which a) a and ß are equal b) a = 2B. 10. The roots of the quadratic equation x+ 3x + 7=0 are a and B. Form a quadratic equation with roots a - 2B and B- 2a

The roots of the equation: x+ px +q = 0 are a and B without solving the equation. form the quadratic equation whose roots are a? + aß and B+ aß 9. The equation x+ (-1 )x + 1 = 0 has roots a and B. Find without solving this equation the values of A for which a) a and ß are equal b) a = 2B. 10. The roots of the quadratic equation x+ 3x + 7=0 are a and B. Form a quadratic equation with roots a - 2B and B- 2a

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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