If 3 + 4i is a solution of a quadratic equation with real coefficients, then is also a solution of the equation.

Q: Find all real solutions of the equation. x4 + 4x3 + 2x2 = 0

A: The equation is a statement that consists of equal symbol between two algebraic expressions. The…

Q: Find all real solutions of the equation. x4/3 - 5x2/3 + 6 = 0

A: x43-5x23+6=0

Q: find all real solutions of 5=√4x-3

A: Given: 5=4x-3 Now squaring on both sides, we get, ⇒25=4x-3⇒25+3=4x⇒28=4x⇒x=7

Q: Find all real and complex solutions of the equation. x2 + 16 = 0

A: The discriminant of the equation can be less than zero, equal to zero or greater than zero. When the…

Q: Find all real solutions of the equation. x2 - 3x + 9 = 0

A: Given: The quadratic equation x2-3x+9=0 . The solutions of the given quadratic equation is given…

Q: Find all real solutions of the equation. (x + 5)4 - 16(x + 5)2 = 0

A:

Q: If 3  4i is a solution of a quadratic equation with realcoefficients, then is also a solution of…

A: To solve the given problem.

Q: Find all real solutions of the equation. 2x2 + x = 1

A: Solution: Consider the given that : 2x2 + x = 1 Therefore 2x2 + x - 1 = 0 This is quadratic in x…

Q: 49 Find a quadratic equation with integer coefficients whose roots are the reciprocals of 4x2 - 23x…

A: We have to find a quadratic equation whose roots are reciprocal to roots of given equation- given…

Q: Find all real solutions of the equation.

A: 2x2+3x-12 = 0                  by using quadratic formula.…

Q: Find all real solutions of the equation. x1/2 - x-1/2 - 6x-3/2 = 0

A: Given that the equation is x1/2 - x-1/2 - 6x-3/2 = 0 To find the real solution of the given equation…

Q: Find all real solutions of the equation. x2 + 24x + 144 = 0

A: We have to find the all real solutions of the equation: x2+24x+144=0 Solving the equation by…

Q: Find all real solutions of the equation.

A: 4x-4-16x-2+4=0

Q: Find all real and complex solutions of the equation 2x^2 +4x + 3 = 0.

A: Given: The equation, 2x2+4x+3=0.

Q: Find all real solutions of the equation.

A: x2x+7-x+1x+3=1 Simplify left side of given equation  Make common denominator of left side…

Q: Find all real solutions of the equation. x4 - x3 - 6x2 = 0

A: Given equation,  x4 - x3 - 6x2 = 0 To find all the real solutions.

Q: Find the real solutions of (2x-1)2-3(2x-1)-4=0

A: Let 2x-1=y Then  equation becomes (y)2-3(y)-4=0

Q: Find all real solutions of the equation.

A: The given equation is, 2xx2+1=1 On simplifying the equation, we get 2xx2+1=1x2+1=2xx2-2x+1=0

Q: Find all real solutions of the equation. x3 - 2x2 - 5x + 10 = 0

A: x3-2x2-5x+10=0

Q: Use the techniques presented in this section to find all solutions of the given equation   2x3 + 6x…

A: Given: To find: all solutions of the given equation     2x3+6x-3=0

Q: Find all real solutions of the equation. x2 - 6x + 1 = 0

A: Given: x2-6x+1=0 Determine the roots of the equation using: x=-b±b2-4ac2a

Q: Find all real solutions of the equation. x3/2 - 10x1/2 + 25x-1/2 = 0

A: Consider the equation, x32-10x12+25x-12=0

Q: Find all real solutions of the equation.

A: Given:              x+2x3+4x=5x

Q: Find all the real solutions to this equation: 1/6x^3=-36

A:

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

A:

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

A:

Q: Find all real solutions of the equation. x5 - 3x2 = 0

A: First, take out the common term from the equation x5-3x2=0. x5-3x2=0x2x3-3=0 Since we know that if…

Q: Find all real and complex solutions of the equation. x2 = -12

A: Consider the given equation x2=-12 Now, take square root on both sides x=±-12 Since,  12=4×3=2×2×3…

Q: Suppose x=−3−9i  is a solution of a quadratic equation with real coefficients. Then another…

A:

Q: Find all real solutions of the equation. x4 - 4x2 + 3 = 0

A: We have to find all real solutions of the equation: x4-4x2+3=0 Solving the equation by middle term…

Q: Find all real solutions of the equation. x-1/2 - 2x1/2 + x3/2 = 0

A: The rational exponents is a exponents which are having as a fractional numbers. The…

Q: The solutions of the quadratic equation x2 + 4x + 8 = 0 are

A:

Q: Find all real and complex solutions of the equation. x4 - 256 = 0

A: x4 - 256 = 0

Q: Find all real solutions of the equation. x3 - 27 = 0

A: The equation is a statement that consists of an equal symbol between two algebraic expressions that…

Q: Find all real solutions of the equation. (3x + 5)4 - (3x + 5)3 = 0

A:

Q: If 5 + 8i is a solution of a quadratic equation with real coefficients, then is also a solution of…

A: topic -complex numbers and quadratic equations 5-8i is also a solution of equation

Q: True or False If 2 - 3i is a solution of a quadratic equation with real coefficients, then - 2 + 3i…

A: To check given statement is true or false. If 2-3i is a solution of a quadratic equation with real…

Q: Find all real solutions of the equation. (x + 2)2 - 2 = 0

A: To find: All real solution of the equation: Given: The equation is x+22-2=0. Concept used: If x2=a…

Q: 5+3i is a solution of a quadratic equation with real coefficients, then blank is also a real…

A: If 5+3i is a solution of the quadratic equation with real coefficient then its complex conjugate is…

Q: Find all real solutions of the equation. x5 + 8x2 = 0

A: To find all the real solution of the equation: x5+8x2=0 Solution: Given equation is x5+8x2=0.…

Q: Find the real solutions of equation x4+4x3+2x2-x+6=0

A: To determine the real solutions of given equation.

Q: Find all real solutions of the equation.

A: Given equation,  x-9-3x=0.   It is simplified as follows: x-9-3x=0 Squaring both sides,…

Q: Find all real solutions of the equation. x3 - 5x2 + 6x = 0

A: Given equation is x3-5x2+6x=0.

Q: Find all real solutions of the equation. 2x2 + x - 3 = 0

A: Given equation: 2x2 + x - 3 = 0

Q: Find all real solutions of the equation. x2 - 8x + 12 = 0

A: Given: x2-8x+12=0

Q: (4) Find ß such that the equation Bx² + x + B = 0 has a repeated real solution.

A: General quadratic equation: ax2 +bx + c = 0 For repeated real roots : D = 0 D = b2 -4ac = 0

Q: Find all real and complex solutions of the equation. x2 + 6x + 10 = 0

A: The number of roots of an equation is equal to the highest degree of the equation. The roots of a…

Q: Find all real solutions of the equation. x3 = 25x

A: x3=25x

Q: The solutions of a quadratic equation in the general form ax2 + bx + c = 0, a ≠ 0, are given by the…

A: The solutions of a quadratic equation in the general form ax2 + bx + c = 0, a ≠ 0, are given by the…

Q: Find all real solutions of the equation. x4 + 64x = 0

A: x4+64x=0 ⇒x(x3+43)⇒x(x+4)(x2-4x+16)                a3+b3=(a+b)(a2-4ab+b2)Now for quadratic equation…