Explanation Given: 4 x 1 2 + 11 x 1 4 − 3 = 0 Calculation: Consider the following expression: 4 x 1 2 + 11 x 1 4 − 3 = 0 …...…... (1) Assume y = x 1 4 . Thus, the above expression written as follows: 4 y 2 + 11 y − 3 = 0 Factor and solve: 4 y 2 + 12 y − y + 3 = 0 4 y ( y + 3 ) − 1 ( y + 3 ) = 0 ( y + 3 ) ( 4 y − 1 ) = 0 Solve for ( y + 3 ) = 0 . y = − 3 Now, replace y = x 1 4 . x 1 4 = − 3 x = ( − 3 ) 4 x = 81 And, solve for ( 4 y − 1 ) = 0 4 y = 1 y = 1 4 Now, replace y = x 1 4

Intermediate Algebra Books a la Carte Edition PLUS MyLab Math (8th Edition)

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ISBN: 9780134578507

Author: John Tobey Jr., Jeffrey Slater, Jenny Crawford, Jamie Blair

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Chapter 8.3, Problem 21E

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To calculate: The real roots of the following expression, 4x12+11x14−3=0.

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Chapter 8.3, Problem 20E

Chapter 8.3, Problem 22E

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Assume a bivariate patch p(u, v) over the unit square [0, 1]² that is given as a tensor product patch where u-sections (u fixed to some constant û; v varying across [0, 1]) are quadratic polynomials Pu:û(v) = p(û, v) while v-sections are lines pv:ô (u) = p(u, v). The boundary lines pv:o(u) and pv:1 (u) are specified by their end points p(0,0) 0.8 and p(1,0) 0.2 as well as p(0, 1) 0.3 and p(1, 1) = 0.8. The boundary quadratics pu:o(v) and pu:1 (v) interpolate p(0,0.5) = 0.1 and p(1, 0.5) = 0.9 in addition to the above given four corner-values. = = = Use Pu:û(v) = (1, v, v² ) Mq (Pu:û(0), Pu:û (0.5), Pu:û(1)) with Ma = 1 0 0 -3 4-1 2 4 2 (Pv:ô as well as pu: (u) = (1, u) M₁ (pv:v (0), P: (1)) with M₁ = = (19) 0 to formulate p(u, v) using the "geometric input" G with G = = (P(0,0%) p(0,0) p(0,0.5) p(0,1) ) = ( 0.39 0.8 0.1 0.3 0.2 0.9 0.8 p(1,0) p(1, 0.5) p(1, 1) See the figure below for (left) a selection of iso-lines of p(u, v) and (right) a 3D rendering of p(u, v) as a height surface…

O Functions Composition of two functions: Domain and... Two functions ƒ and g are defined in the figure below. 76 2 8 5 7 8 19 8 9 Domain of f Range of f Domain of g Range of g 3/5 Anthony Find the domain and range of the composition g.f. Write your answers in set notation. (a) Domain of gof: ☐ (b) Range of gof: ☐ Х Explanation Check 0,0,... Español لكا ©2025 McGraw Hill LLC. All Rights Reserved Torms of lico Privacy Contor Accessibility.

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The real roots of the following expression, 4 x 1 2 + 11 x 1 4 − 3 = 0 .

Solution Summary: The author explains how to calculate the real roots of the expression 4x12+11.

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To calculate: The real roots of the following expression, 4x12+11x14−3=0.

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