solve quadratics by square roots

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to solve a quadratic equation by square roots?

Back

Solving a quadratic equation by square roots involves isolating the x² term and then taking the square root of both sides to find the values of x.

Tags

CCSS.HSA-REI.B.4B

Front

What is the square root of a number?

Back

The square root of a number x is a value y such that y² = x. It can be positive or negative.

Tags

CCSS.8.EE.A.2

Front

Solve for x: x² = 49

Back

x = 7, -7

Tags

CCSS.8.EE.A.2

Front

Solve for m: 4m² - 100 = 0

Back

m = 5, -5

Tags

CCSS.8.EE.A.2

Front

What is the principle of taking square roots in equations?

Back

When you take the square root of both sides of an equation, you must consider both the positive and negative roots.

Tags

CCSS.HSA-REI.B.4B

Front

Solve for x: x² = 64

Back

x = 8, -8

Tags

CCSS.8.EE.A.2

Front

What is the formula for solving quadratic equations by square roots?

Back

If ax² = k, then x = ±√(k/a).

Tags

CCSS.HSA-REI.B.4B

Front

Solve for h: (h - 2)² = 9

Back

h = 5, -1

Tags

CCSS.8.EE.A.2

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root: b² - 4ac. It determines the nature of the roots.

Tags

CCSS.HSA-REI.B.4B