Problem preview

A-SSE.1.b Warmup M2-009-A04-V04

Interpret quadratic/exponential expressions by treating sub-expressions as meaningful units.

Use a table to find where two functions are equal

Problem

For \(x^{2}-4x+2=0\), compute the discriminant from \(a\), \(b\), and \(c\). Explain how a positive value that is not a perfect square determines the exact root type and number of \(x\text{-}\text{intercepts}\).

Answer choices

Choose your path.

Preview only

a = 1, b = −4, c = 2; D = 8; two distinct real rational roots because 8 is positive; two x-intercepts.

a = 1, b = −4, c = 2; D = 16 − 8 = 8; two distinct real irrational roots because 8 is positive and not a square; two x-intercepts.

a = 1, b = −4, c = 2; D = −8; no real roots; no x-intercepts.

a = 1, b = −4, c = 2; D = 0; one repeated real root; the parabola is tangent to the x-axis.

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Inside Gozunta

More than a preview

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now

Curriculum context

Course: Math II
Standard: A-SSE.1.b
Category: Algebra
Domain: Seeing Structure in Expressions
Objective: Interpret quadratic/exponential expressions by treating sub-expressions as meaningful units.
Problem type: Use a table to find where two functions are equal