1)Find the zero: 4x + 7 = 0       2) Find all zeros: 2x2 – 3x + 3 = 0

Q: Find all complex solutions using an appropriate method. 18. (2x-3)(x+7)=1+11x-x²

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Q: Use the box method to distribute and simplify (-3x – 6)(-2x – 2). Drag and drop the terms to the…

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Q: Find the maximum number of X- intercepts that f(X) = -9X + 15X– 8X² + 2X + 37 may have. %3D None of…

A: Maximum number o x- intercepts are

Q: Find the minimum and maximum of 3+3x2-7x on the interval [0,3].

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Q: Show that Y1 = X1/X2 and Y2 = X1 + X2 are independent and that Y2 isχ2(r1 + r2).

A: Given Y1=X1X2Y2=X1+X2

Q: Show that the equation x3 - 15 x + c = 0 has at most oneroot in the interval [-2, 2] .

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Q: Find all solutions ofy" - 2y' + 4 = 0.

A: Given, y''-2y'+4=0

Q: The area of a rectangle is (x^2 + 8x + 12) cm^2. If the length of the rectangle is (x+6) cm, show…

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Q: List the zeros of y = x(x +4). If you have more than one solution, separate them with commas.

A: Given that: y=x(x+4)

Q: Let (c1, c2) be a solution of the 2 × 2 system a11x1 + a12x2 = 0 a21x1 + a22x2 = 0 Show that for any…

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Q: Find the formula, in standard form y=ax2+bx+cy=ax2+bx+c, for a quadratic that has roots at x = -3…

A: We have to find a quadratic that has roots at x = -3 and x = -2, and has leading coefficient of 1.

Q: 6. Use the simplex method to find the maximum value of subject to + 6x 58 + 12 , X 20.

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Q: The domain off(x) = 3-x is 1-x2 %3D 1. R 2. R/{1,-1} 3. R/{3} 4. (0, ∞)

A: Domain: The domain of a function is the set of all input values for which the function is defined.…

Q: The vertex of the parabola f(x) = x2 + 20x + 3 is О (-30, -97) O (-20,-97) о (-20,-20) О (-10, -94)…

A: Given Parabola is y=f(x)=x2+20x+3 find the vertex of the parabola

Q: Find the vertex of a quadrat. 1. f(x) = 3x2 + 18x + 32 %3D

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: Determine k such that kx² – 4x+- 0 has real and different solutions.

A: Let us consider a quadratic equation ax2+bx+c=0 then the solution for the equation is x=-b±b2-4ac2a…

Q: Suppose two positive real numbers a and b add to 120. Find the values of a and b that maximize the…

A: Given a+b=120 .....1

Q: The intermediate value theorem can be used to prove that the equation x^2+7x+6=0 has at least one…

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Q: 1-9, FIND THE DEI 1. y = 5x4 – 9x³ + 7x %3D -

A: The solution is :

Q: Prove that the equation 3x² – 3x + 2 = 0 has a solution on interval [0; 1].

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Q: Let 1 2 -1 A = 2 4 -2 -2 Describe all solutions of A = 0. * = x2 +x3 +x4

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Q: Verify that x² +1 = (x² + v2x + 1)(x² – V2x + 1). %3D

A: **Since you have asked to solve question no. 42, you will solve that question.Question 42.We need to…

Q: (a) Write down the piecewise form for the function |2x – 3|. (b) Hence or otherwise find all…

A: we have to write the given function in piecewise

Q: use the discriminant to help solve each problem. Determine k so that 3x2 - kx - 2 = 0 has real…

A: 3x2-kx-2=0 Comparing with ax2+bx+c=0, we get a=3,  b=-k  &  c=-2 Now discriminant is,…

Q: Determine the initial value of the quadratic relation y = 7x²+2x-32. Enter a numeric value only.

A: Introduction: For a function, there is also an initial value. The initial value of a function is the…

Q: Find, in factored form, the equation of the quartic function y that has been graphed. Let the…

A: Form graph we need to look multiplicity of zeros and how many times graph touch or crosses x axis

Q: Find the zeros and the least possible multiplicity of each zero.

A: we have been given the graph of the function y=f(x). we have to determine the zeroes of the function…

Q: Determine k such that Kx2 - 4x +1/2 = 0 has real and different solution.

A: To determine k such that kx2-4x+12=0 has real and different solution.

Q: Solve the congruence x^3+19x^2-x+ 23= 0 ( 21).

A: In b) we need to solve the congruence  x3+19x2-x+23=0(21) this equation is in modulo 21 so by using…

Q: Show, by using the discriminant, how many solutions 2x2-x-5=0  has. must show all work

A: The discriminant of a quadratic equation ax2+bx+c=0 is given by D=b2-4ac.  We have h quadratic…

Q: Find x, and X2 -14 23 3 1 X2 - 4 X1 X2 = %3D II

A: here we use the simple multiplication of matrices

Q: 10. Subtract 2- V- 64x²y* from – 3– xy-9y' and express the result in a + bi form

A: Answer and explanation is given below

Q: Find x, and x2.· - 5 - 4 X1 - 55 4 - 5 X2 3 X1 = %3D II

A: To find x1, x2

Q: Find x, and x2. - 5 1 6- 15 -2 3 X2 - 3 17 X1 %3D X2 =

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Q: Solve the IVP: X' = AX, where -() xw - () 3 -3 1 A = 2 -1 0 1 -1 1 and 7 X(0) 4 3

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Q: Select all the quadratic equations.   7x3 - 9x2 + 3x - 12 = 0 32t2 - 23t = 9 x + 6y = 42 x2 - 4y2 =…

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Q: Find the degree homogeniety of y'=2xy/y^2-x^2

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Q: Find the intercepts of the graph of each quadratic function. Show solutions also. 1. y = 4x^2+8x+3…

A: 1. y=4x2+8x+3 Y intercept is where x=0. So, y=4×02+8×0+3=3 So, y  intercept is (0,3)      x…

Q: Among all pairs of numbers (x, y) such that 2x +y = 9, find the pair for which the sum of squares, x…

A: NOTE: Refresh your page if you can't see any equations. . the given constraint is

Q: X1 ^ x2 – 2x2 ^ x3 + x1 ^ x4 -

A: Given: Quadratic form is in 4 variables    x1 x2 - 2 x2 x3 + x1 x4

Q: Is there a real number ______ whose square is -1? b. Does there exist _____ such that x 2 = −1?

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Q: A farmer has 180 yd of fencing material and wants to enclose three rectangular pens. Suppose that r…

A: Given, A farmer has 180 yards of fencing material,

Q: Prove that the equations 3x+9 = 6 and x+3=2 equivalent. Explain why or why not.

A: Equations that have same roots are called equivalent.

Q: The value of x such that 8x+4, 6x-2, 2x +7 will be consecutive terms in an AP is

A: If a, b, c are consecutive terms in an AP then 2b= a + c

Q: The product of x* + x3 + 2x? and 2x² + 4x + 6 in z, [x]/ is:

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Q: 2 Find the maximum value of 7x1 + X2 + X3 + 7x4 subject to the condition that x +x, +x +x = 100.

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Q: find the Doman (De) and The funcdia y= 2-

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Q: A rectangular box for a new product is designed in such a way that the Three dimensions always have…

A: Given: A rectangular box for a new product is designed in such a way that the Three dimensions…

Q: How can I show that there exists at least one solution in the set of real numbers for x5-x3+3x=5…

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Q: Show that the equation x3 –- 15x + c = 0 has at most one real root in the interval [-2, 2]. |

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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.