a L04. Given that a and are roots of an equation ax + bx +c = 0, where a + 0, show that 2 9ac 2b2. 5. Show thai if m and n are the roots of the quadratic equation:ax+ bx +c = 0, where ab and c are real constants, then m+ n - and mn = The roots of the quadratic a equation x + bx +1 = 0, where b is a real constant are a and B. Find in terms of h the, quadratic equation whose roots are 2 and ox where 2= a(1+ a* + B²); x= B (1 + a? + B-). L Hence find the range of values of b for which 2. and x are real and distinct.
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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