Solving Quadratic Equations (-b Formula) (Leaving Cert Mathematics): Quizzes

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Solving Quadratic Equations (-b Formula)
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What is the quadratic formula used for solving?

To find xx in quadratic equations

What are the coefficients in 2x2−7x+3=02x^2 - 7x + 3 = 0?

a=2,b=−7,c=3a=2, b=-7, c=3

What is the first step in using the quadratic formula?

Identify aa, bb, cc

In the formula, what is the discriminant?

b2−4acb^2 - 4ac

What does a positive discriminant indicate?

Two real roots

What does a zero discriminant mean?

One real root

How do you find roots with the formula?

Add and subtract discriminant\sqrt{\text{discriminant}}

What is the root when discriminant is 2525?

(7+5)/4(7+5)/4 or (7−5)/4(7-5)/4

Why do we use ±\pm in the quadratic formula?

To find both roots

What is the simplified root for 2x2−7x+3=02x^2 - 7x + 3 = 0?

7±54\frac{7 \pm 5}{4}

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