Solve the following quadratic equations:
1) 2x2+ 6x+ 1 = 0
2) 4x2+ 12x+ 2 = 0
3) 9x2−4x+ 12 = 0
4) (x−1)(x+ 3 +3(x−1))=(4−x)(x−1)(x−1)
Hint:Factor and simplify using (x−1).
Solve the following quadratic equations: 1) 2x2+ 6x+ 1 = 0 2) 4x2+ 12x+ 2 =...
for the new numbers please Homework: Section 7.2 Homework Save Score: 0 of 1 pt 2 of 8 (8 complete) HW Score: 25%, 2 of 8 pts X 7.2.5 Question Help Find the matrix of the quadratic form. Assume x is in Rº. a. 6x; + 9xz - 4x} - 4X2X2 + 18X9X3 – 2x2x3 b. 6X2X2 + 2X7X3 – 10x2X3 | 6 -2 9] a. The matrix of the quadratic form 6xî + 9x2 - 4x2 - 4x4X2 +...
Learning Target D7: I can solve for the roots of a Quadratic function using factoring, quadratic formula, and square roots. 1. Solve for the roots of the following quadratic equations.Explain which method you used and why. 2x2 - 4x + 10 = 0 (x - 12/x + 1) = 0 Method used Why? Method used Why? I 3x? - 11x = 4 (x - 2)2 - 16 = 0 Method used Why? Method used Why?
The quadratic formula is used to solve for sin equations taking the form of a quadratic equation, ar? + bo+C =0. quadratic formula: - b ± √b² - 4ac = - 20 Solve for a in the expression using the quadratic formula 2x2 + 27% -5.3 = 0 Use at least three significant figures in each answer. 2 = 1 and 2 =
Use the Gaussian elimination method to solve each of the following systems of linear equations. In each case, indicate whether the system is consistent or inconsistent. Give the complete solution set, and if the solution set is infinite, specify three particular solutions. 1-5x1 – 2x2 + 2x3 = 14 *(a) 3x1 + x2 – x3 = -8 2x1 + 2x2 – x3 = -3 3x1 – 3x2 – 2x3 = (b) -6x1 + 4x2 + 3x3 = -38 1-2x1 +...
= Solve the following equations 2 1 a) 11_1 + 3x 4 6x 3 b) V nr3, solve for r. c) 25cos20 – 2 = 0 d) V7x + 2 + x = 6 3
Question 9 (6 points) Simplify and state the restrictions: X? – 6x +5 2x2 -11x + 5 - 4(x² - 1) 8x2 - 4x
estion 7 of 16> The quadratic formula is used to solve for x in equations taking the frm of a quadratic cquation, ar' + br + e-O quadratic formula: x Solve for x in the expression using the quadratic formula 2x2 + 29x-8. Use at least three significant figures in each answer. and x = 5 6 8 9
3. Solve the following systems of equations using Gaussian elimination. (a) 2x 3x2 + 2x3 = 0 (d) 2x + 4x2 2.xz 4 *- x2 + x3 = 7 X; - 2x2 · 4x3 = -1 -X, + 5x2 + 4x3 = 4 - 2x - X2 3x3 = -4
Q.1 Using the method of Triangular Decomposition solve the set of equations. Xı - 2x2 + 3x3 - X4 = -3 3x1 + x2-3x3 +2x4 = 14 5xi +3x2+2x3 + 3x4 = 21 2x1 - 4x2 – 2x3 + 4x4 = -10 If Ax = 2x, determine the eigenvalues and corresponding eigenvectors of -3 0 6 4 10 - 8 A 4 5 3 B= 1 2 1 1 2 1 -1 2 3 Q.2
Write the quadratic function in the the form y=a(x-h)2+k and sketch its graph. y=2x2-12x+14 y=?