Given that the equation z2 + (p + iq)z + r + is = 0, where p, q, r, s are real and non-zero has a real root, then how are p, q,r and s related?

Q: 2 and B= 1 0. then Show that if A = 6. -1 2 (A + B)(A + B) # A² + 2AB + B?

A: Given that A=-1201 and B=10-12 We have to show that A+BA+B≠A2+2AB+B2

Q: If a and 3 are the roots of the quadratic 3r² – 4.x + 6 = 0, find the value of ( + )

A: We have to solve given problem:

Q: Show that the equation x-4y+7z=14 , 3x+8y-2z=12 , 7x-8y+26z=5 are not consistent

A: Show that the equation x-4y+7z=14 , 3x+8y-2z=12 , 7x-8y+26z=5 are not consistent  We use Cramer's…

Q: 4x+2y=2 1.) 2x+2y=4

A: The given system of equation is: 4x+2y=22x+2y=4

Q: ;) 2r-11x-21 0 ii) x + x 22

A: 1)                                          2X2-11X-21 =0                         To solve this…

Q: Show that the equation Z+22³ +37² +4Z+ 5 = 0 has no root which is either purely real or purely…

A:

Q: verify that (A + B) + C = A + (B + C)

A: Now,

Q: b. S(5 tan 3x - 2 sec2 x)dx

A: 11.b) ∫5 tan 3x-2 sec2x dx

Q: Prove that 3x3+ 5x - 11 has a root between x=1 and x=2. Thanks!

A:

Q: In the quadratic equation Ax²+BX+C =0' describe the roots when B2-4AC is positive. O The roots are…

A: Roots of quadratic equation

Q: Find the value of each of a,b,c so that 6x3 − 7x2 − x + 2 = (x − 1)(ax2 + bx + c)

A: Given equation is : 6x3-7x2-x+2=x-1ax2+bx+c To find the value a, b, and c

Q: 6. Find the limit of each, if possible. In x a. lim x→14x – x² - 3 cos x + 1 b. lim x→n (x-n)2 x3 c.…

A:

Q: Show that the equation Z+22³ +37² +4Z+ 5 = 0 has no root which is either purely real or purely…

A:

Q: 1 -4 5 -5 2 -5 1 -1 -4 A 1 -3 Describe all solutions of Ax = 0. %3D x = x2 +x4 +X6

A: Given matrix is                               A=1-45-52-5001-10-400001-3000000 Therefore the system…

Q: Specify a linear combination in terms of coefficients?

A:

Q: 2x² -5x - 12 = 0

A: Given data:- The given equation is, 2x2-5x-12=0

Q: Verify 1 and 3 2 are the roots of the equation 2x“ – 5x + 3 = 0

A: