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When the quadratic equation ax2 bx c 0 has roots and : ○ The sum of the roots, b a ; ○ and the product of roots, a

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The quantity b2 – 4ac plays an important role in the theory of quadratic equations and is called the discriminant Thus, in summary, when solving ax2 + bx + c = 0,

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Quadratic Theory is a very important part of the Higher Still course and in Mathematics generally he discriminant of a quadratic equation is defined as being

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square : By adding and subtracting a suitable constant, we club the x2 and x terms in the quadratic equation so that they become a complete square, and solve for

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We use these formulas to help us solve by completing the square A COMPLETE THE SQUARE We first begin with completing the square and rewriting the

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QUADRATIC EQUATIONS AND THEORY OF EQUATIONS SENIOR If α, β are the roots of ax2 + bx + c = 0, then the equation whose roots are α + β, αβ is

[PDF] Roots of quadratic equations - Pearson Schools and FE Colleges

When the quadratic equation ax2 bx c 0 has roots and : ○ The sum of the roots, b a ; ○ and the product of roots, a

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A quadratic equation has, at most, two solutions - also referred to as roots There are some situations, however, in which a quadratic equation has either one

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