Irrational Roots of Quadratics

If b² - 4ac > 0 and not a perfect square, then the roots of ax² + bx + c = 0 are

• Equal

• Irrational

• Rational

• Imaginary

The discriminant is

• ax² + bx + c

• √(b² - 4ac)

• b² - 4ac

• b² + 4ac

Solve x² - 5x + 10 = 0

• (5 - i√15)/2  ,  (5 + i√15)/2

• (5 - √15)/2  ,  (5 + √15)/2

• (5 - i√65)/2  ,  (5 + i√65)/2

• (5 - √65)/2  ,  (5 + √65)/2

Solve for x:

3x² - 6x + 6 = 0

• x = 1± i

• x = 3, -6

• x = 4.8, 2.7

• Undefined

Solve -2x² + 4x = 9

• (2 - i√14)/2   ,   (2 + i√14)/2

• (2 - i√-56)/2   ,   (2 + i√-56)/2

• (2 - i√-14)/2   ,   (2 + i√-14)/2

• (2 - √14)/2   ,   (2 + √14)/2

If the value of the discriminant is a positive number but not a perfect square, the roots are ___________________.

• Real and equal

• Real and unequal

• Irrational

• Imaginary

can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared.

• Quadratics

• Linear

• Square Roots

• Equations

The ______________ is the part of the quadratic formula underneath the square root symbol: b²-4ac.

• Square Root

• Inequalities

• Variations

• Discriminant

4(x+9)²=24

• {-9+√6,-9-√6}

• {3,-3}

• {3}

• so solution