If t be a real number satisfying the equation 2³ - 92² + 30 - a = 0, then find the values of the parameter 'a' for which 1 - the equation x + = t gives six real and distinct values of x. [a € R] X

Q: Prove this theorem Let a,b,c be an element of real numbers where a is not equal to zero. The…

A: Use the provided information.

Q: use Property 6.1 to help solve each quadratic equation. x2 = -49

A: To solve the equation: x2=-49 Solution: We know that if x2=a then x=±a. Using above property the…

Q: If the roots of the equation x - 8x + a² - 6a = distinct, then find all possible values of a.

A: Since the roots of the given equation are real and distinct, We must have…

Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: Express 3-i/2+3i  in the form a + bi

A: Rationalise i^2=-1

Q: b) Show that A = 1 3 -2 2 0 -1 3 2 has no inverse. -2]

A:

Q: Find the d. c. of T from definition.

A:

Q: = The second question: Let (W = (x2 + 2 + 2) find the value of the real constant k that achieves = 0…

A:

Q: 4. (a) If a and B are the roots of the equation 2x +7x+3=0, find; 1 1 (iv) a+B (v) a B a B (1) a+B…

A:

Q: Fac tor +3 olve X-4x-12=D-3x + 3x2 O x" - 2x= 15 +32 3-5x-x +5 = 0 x" +12x +32=o 4. vide x5 - 3x" +…

A: As per the guidelines we can solve 3 parts only. Please repost the same for more answers.

Q: use Property 6.1 to help solve each quadratic equation. 3(x + 7)2 + 4 = 79

A: Given property 6.1,  For any real number a, x2=a if and only if x=a or x=-a

Q: The roots of (x + 1)2 + 1 = 0 are

A: NOTE: Refresh your page if you can't see any equations. . subtract 1 from both sides

Q: -6 14 (-7 15 , 18. Solve for X, if X³ = (). 0 2 Ans. X = -1 3

A: We are given that for a matrix X, such that X3=-614-715. We need to find the value of X. Let X =…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Find the coefficient of x7 in (1 + x + x² + x³ + x4 + ...)¹3

A:

Q: Solve the equation 2x-x-8x +4 0 algebraically for all values of x. O 1)-2i, 2i, - 2, 2 O 2) -2,2 O…

A: To find the value of x

Q: If the given three vectors are coplanar, then find the value of x. A = i-2j + 3k, B = xj + 3k, C =…

A: A, B, C are coplanar.So

Q: nd (0,2) ion of the line in slope-intercept form is or fractions for any numbers in the equation.)

A: Given Write an equation for the line passing through the given pair of points. (-3.0) and (0.2)

Q: If a and B are the roots of the quadratic equation -x+6x - 4 = 0, find the values of the following…

A:

Q: The quadratic function, f(x) = (x + 1)² +9, is shown in the graph below. 10 a = 15 b = 10 0 This…

A: The given quadratic equation is

Q: Find the distance from (-2,-1) to (3,2)

A:

Q: Find the values of k for which the equation x? – 4x + k = 0 has distinct real roots.

A:

Q: Ex : find the real part of analytic complex variable if imaginary part of it is v = (xy) V%3D

A: