Question 1         Solve the equations:       4x^2- 28x +49=0     〖(x^2-5)〗^2+2(x^2-5)-24=0       〖(x-7)〗^2-26 =10      b. Solve the following inequalities      i)      |2x-6|  ≤  8 ii)      |4x+7|  > 35

Q: Solve x^2 +6x ≤ -5. Show your work

A: Solution of equations

Q: Solve intergral, thank you

A: To evaluate: I=∫-10x2(x+1)12dx...(1)

Q: how would you rewrite 2x^2+x-6 to show the roots (zeros) of the function f(x)=2x^2+x-6

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Q: I had a question regarding the quadratic formula. Based on the equation x = [-b +/- sqrt(-b^2 -…

A: As we are discussing about quadratic equations and of we want to determine equation have infinite…

Q: how to derive: cube root of x over x minus 6.

A:

Q: ow many real solutions does the equation \sqrt(x-1)=x-4 have

A: Given equation We have to find the values of real 'x'Remember the quadratic formula for

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

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Q: Conplex Fourien -2<メ<-ト -くx< 一<x<2 fox=

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Q: Using the discriminant, find the value of k where the equation 3x^2+12x+k would have “exactly one…

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Q: Solve the following equations using substitution: a) n-6vn+83D0 b) 2m^4-m^2-3=0 c)1/(m-2)-m/(m+3)%32

A: Here ix the solution

Q: If the roots of the equation a(b – c)x² + b(c – a)x + c (a – b)=0 2 1.1 are equal, show that b а с a

A: Here we will show that 2b=1a+1c

Q: x^6-9x^3+8=0 Find real roots of the equation

A: We have to find the real roots of the given equation. We will factorise the given equation to find…

Q: Find all roots x^3-4x^2+x+26=0 A. x=-2 & the two other roots are imaginary B. x=-1 & the two…

A: Explanation of the answer is as follows

Q: show that the equation x^5+2x^3+3x-4=0 has exactly one root. Justify your answer.

A: Given equation has only one root. Here is its explanation.

Q: Solve for x, only real roots  x3-4x2+x+6=0 Please write clearly thank you.

A: We have to find the roots of the following equation - x3-4x2+x+6=0

Q: 4. Form the equation whose roots are the multiplicative inverses of the roots of 3x2 + 10x – 8 = 0.

A:

Q: Consider the equation x^(2)-12x+49=22 Which equation has the same solution (s) as the give   M.…

A: We can solve the equation.

Q: Solve n^(2)+3=0 using complex numbers if necessary.

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Q: Show that the equation x1000+1000x−1=0 has a root.

A: GIVEN f(x)=x1000+1000x-1

Q: The equation ℎ = −2t^2 + 16t + 9 represents the height of a ball where h, is the height of the ball…

A: (a) h(t) = - 2t² + 16t + 9 So, h'(t) = - 4t + 16  So, h"(t) = - 4  Now, for extreme values of h, we…