first use the discriminant to determine whether the equation has two nonreal complex solutions, one real solution with a multiplicity of two, or two real solutions. Then solve the equation. 2x2 - 6x = -1

Q: Find all real solutions of the equation.

A: Given: x-52-2x+53=56 For finding solutions of given expression, we take L.C.M. and simplify it

Q: Compute the discriminant of  equation .What does the discriminant indicate about the number and type…

A: Comparing with

Q: Does the equation 4x2 + 20x + 25 = 0 have (a) two nonreal complex solutions, (b) two equal real…

A: 4x2+20x+25=0Formula: Discriminant, D=b2-4ac

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. 2x2 + x = 1

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

Q: State whether the given quadratic equations have two distinct real roots .Justify your answer  i)…

A:

Q: Find all real solutions of the equation.

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

Q: . Use the discriminant to determine if the equation 3x? – 2x = -7 has two distinct real solutions, a…

A:

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

A: Given: 3x2+2x+2=0 We know that for any quadratic equationax2+bx+c=0, a≠0 If b2-4ac>0 then both…

Q: Compute the discriminant of the equation.What does the discriminant indicate about the number and…

A:

Q: Does the equation 4x2 - 3x = -5 have (a) two nonreal complex solutions, (b) two equal real…

A: 4x2-3x=-5

Q: Compute the discriminant of the equation.What does the discriminant indicate about the number and…

A: Given 2x2-11x+3=0 For any quadratic equation of form ax2+bx+c=0 the discriminant is given by b2-4ac…

Q: Find coefficients a, c where the quadratic equation with a complex solution. 2² + 8x + = 0

A:

Q: first use the discriminant to determine whether the equation has two nonreal complex solutions, one…

A: The given equation is 8x2+18x-5=0

Q: First determine whether the solutions of the quadratic equation are real or complex without solving…

A:

Q: first use the discriminant to determine whether the equation has two nonreal complex solutions, one…

A: Given equation is: 4x2+20x+25=0We know determinant D of a quadratic equation of the form ax2+bx+c=0…

Q: first use the discriminant to determine whether the equation has two nonreal complex solutions, one…

A: Given: 3x2 +4x = 2 To solve: The given quadratic equation.

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

A:

Q: Find all real solutions of the equation. 4x2 = 49

A: We have to find the real solution of the given equation    the given equation is    4x2=49

Q: Find all real solutions of the equation. 2x4 + 4x2 + 1 = 0

A: Consider the equation 2x4+4x2+1=0 To find the real solutions of the given equation, complete the…

Q: first use the discriminant to determine whether the equation has two nonreal complex solutions, one…

A: 9x2-6x+1=0

Q: find the discriminant of each equation and determine whether the equation has (1) two nonreal…

A: 4x2- 20x + 25 = 0Given equation is in the form of ax2+bx+c=0 The formula for discriminant is…

Q: Use Descartes’ rule of signs to determine the number of possible positive, negative, and nonreal…

A: Descartes' rule of signs states that the number of possible positive real zeroes is equal to the…

Q: -2=4-2x

A:

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

A: x4 - 256 = 0

Q: Solve the equation z – 8 = 0, giving the results as complex numbers.

A:

Q: Find the real solutions to each equations Equation 1 x4-x3+2x2-4x-8=0 Equation 2  x4+4x3+2x2-x+6=0

A: Given equation is

Q: first use the discriminant to determine whether the equation has two nonreal complex solutions, one…

A: To solve the equation: x2+4x-21=0 Solution: We know, discriminant 'D' of a quadratic equation of the…

Q: Use the discriminant to determine whether the quadratic equation has two equal real number…

A: Use the discriminant to determine whether the quadratic equation has two equal real number…

Q: Find all real solutions of the equation. |2x - 5| = 9

A: Given equation: 2x-5=9 Solve Absolute Value.   2x-5=9   We know either 2x−5=9 or 2x−5=−9

Q: solve the equation x^3-3x^2-9x-5=0 given that it has two equal roots

A: The given equation is                               x3-3x2-9x-5=0 Now we solve this for x .…

Q: first use the discriminant to determine whether the equation has two nonreal complex solutions, one…

A: Known fact: The quadratic equation ax2+bx+c=0 has two real different solutions if b2-4ac>0 . It…

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: first use the discriminant to determine whether the equation has two nonreal complex solutions, one…

A: Given : The quadratic equation  x2 - 3x - 54 = 0 we have to tell using the discriminant to determine…

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

A:

Q: Use Descartes’ rule of signs to determine the number of possible positive, negative, and nonreal…

A: The number of positive real zeroes in y=p(x) is equal to the number of changes of sign of the…

Q: find the discriminant of each equation and determine whether the equation has (1) two nonreal…

A: We know that, for a standard form of quadratic ax2+bx+c=0, the value of discriminant D is calculated…

Q: Compute the discriminant of the equation.What does the discriminant indicate about the number and…

A: We have top compute the discriminant of the equation and type of solutions: 3x2=2x-1 Rewriting the…

Q: find the discriminant of each equation and determine whether the equation has (1) two nonreal…

A: Conversion of the given equation into the standard equation and formula of discriminant helps to…

Q: Find all real and imaginary solutions to the equation. x – 4x? + x – 4= 0

A: The given polynomial is: x3-4x2+x-4=0

Q: Use Descartes’ rule of signs to determine the number of possible positive, negative, and nonreal…

A: Descartes rule of sign: Let fx=anxn+an-1xn-1+...+a1x+a0 be a polynomial function with real…

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 by completing the square. x2 - 8x + 1 = 0

A: x2 - 8x + 1 = 0

Q: Find all real solutions of the equation.  (x - 2)1/5 = 2

A: Given x-215=2

Q: first use the discriminant to determine whether the equation has two nonreal complex solutions, one…

A: First checking discriminant of the equation x2-7x+13=0⇒b2-4ac=49-4(1)(13)=49-52=-3<0Since,…

Q: Solve the quadratic equation for complex solutions. 2x2 -128

A:

Q: solve the equation for all real solutions in simplest form. 5qʻ + 15q + 5 = -6

A: Given equation 5q2+15q+5=-6 Solve the above equation, 5q2+15q+5+6=05q2+15q+11=0 Recall the quadratic…

Q: Use Descartes’ rule of signs to determine the number of possible positive, negative, and nonreal…

A: Given equation is, 3x3-4x2+3x+7=0 Arranging the equation in standard form and counting the change in…

Q: first use the discriminant to determine whether the equation has two nonreal complex solutions, one…

A:

Q: Solve the equation x + 9x 10 = 0 by completing the - square. (If there are multiple solutions, enter…

A: We have to find the  value of x by complete square

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.