Domanda del libro di testo
Solve each quadratic equation using the zero-factor property. See Example 5. -4x² + x = -3
64
views
Ch. R - Algebra Review
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891
Non è quello che usi tu?Cambia libro di testoScegli un libro di testo diverso
TOC.tableOfContents
- Ch. R - Algebra Review381
- Ch. 1 - Trigonometric Functions188
- Ch. 2 - Acute Angles and Right Triangles168
- Ch. 3 - Radian Measure and The Unit Circle155
- Ch. 4 - Graphs of the Circular Functions100
- Ch. 5 - Trigonometric Identities238
- Ch. 6 - Inverse Circular Functions and Trigonometric Equations158
- Ch. 7 - Applications of Trigonometry and Vectors148
- Ch. 8 - Complex Numbers, Polar Equations, and Parametric Equations15
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema R.6.63
Solve each quadratic equation using the quadratic formula. See Example 7. x² - 2x - 2 = 0
Guida verificata passo dopo passo1
Identify the coefficients in the quadratic equation \(x^2 - 2x - 2 = 0\). Here, \(a = 1\), \(b = -2\), and \(c = -2\).
Recall the quadratic formula: \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\).
Substitute the values of \(a\), \(b\), and \(c\) into the quadratic formula: \(x = \frac{-(-2) \pm \sqrt{(-2)^2 - 4 \times 1 \times (-2)}}{2 \times 1}\).
Simplify inside the square root (the discriminant): calculate \(b^2 - 4ac = (-2)^2 - 4 \times 1 \times (-2)\).
Evaluate the entire expression step-by-step to find the two possible values of \(x\) by considering both the plus and minus signs in the formula.
Risposta video verificata per un problema simile:
Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
5mConcetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Quadratic Equation
A quadratic equation is a second-degree polynomial equation in the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0. It represents a parabola when graphed and can have zero, one, or two real solutions depending on the discriminant.
Video consigliato:
Percorso guidato
5:35
Introduction to Quadratic Equations
Quadratic Formula
The quadratic formula x = (-b ± √(b² - 4ac)) / (2a) provides the solutions to any quadratic equation ax² + bx + c = 0. It uses the coefficients a, b, and c to find the roots, including real and complex solutions, based on the discriminant.
Video consigliato:
Percorso guidato
6:36Quadratic Formula
Discriminant
The discriminant, given by b² - 4ac, determines the nature of the roots of a quadratic equation. If positive, there are two distinct real roots; if zero, one real root; and if negative, two complex conjugate roots. It guides the interpretation of solutions.
Pratica correlata
Domanda del libro di testo
Solve each quadratic equation using the quadratic formula. See Example 7.
x² - x - 1 = 0
712
views
Domanda del libro di testo
Solve each quadratic equation using the quadratic formula. See Example 7. x² - 6x = -7
56
views
Domanda del libro di testo
Solve each quadratic equation using the zero-factor property. See Example 5.
x² + 2x - 8 = 0
567
views
Domanda del libro di testo
Solve each inequality. Give the solution set using interval notation. See Examples 8 and 9. -2x - 2 ≤ 1 + x
47
views
Domanda del libro di testo
Solve each quadratic equation using the square root property. See Example 6. x² = 16
57
views