Find the range of values of the constant k for which the quadratic equation x² + x + k? 12 = 0,has real and distinct roots. 23. The roots of the quadratic equation x2 - x + 2 = 0 are aand B. Prove that 1 (a) 1+ a2 1+ B2 2. 1 (b) 1+ a2 1. 1+ B2 1 Hence form a quadratic equation whose roots are Te and 1+ a? 1+ B2 \Find the value of the constant k for which the equation 24 x2 + (k + 1)x + k = 0 has one root double the other,

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.