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

Q: Find the other 3 roots of z4-2z3-z2+2z+10=0. The first root is (-1+i)

A: Step 1:Step 2:Step 3: Step 4:

Q: find all complex-number solutios (x+5)2 = -108

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Q: state nature of roots of 2x- 4r + 3= 0

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Q: Show that the product of the roots of a quadratic equation is c/a .

A: Consider the quadratic equation ax2+bx+c=0 Also consider that α and β are the roots of the quadratic…

Q: Find all 4 roots of the equation z4+1=0.

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Q: state nature of roots of 2x - 4x +3 = 0 %3D

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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 а с

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Q: If a + Band of = 5α-3 and ² = 5ß-3, find the equation whose roots are alß and pla.

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Q: Find all complex roots of the equation z6+z5+z4+z3+z2+z+1=0.

A: The given equation is z6+z5+z4+z3+z2+z+1=0    .....(1) We know that  z7-1=(z-1)(z6+z5+z4+z3+z2+z+1)…

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

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Q: equation 1.    x² – 5x + 9 = 0  2.     x² – 2x = –10    3.     9x² + 6x + 1 = 0

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Q: Find all integer roots of the following equation: x4 – 2x3 – 21x? + 22x + 40 = 0. - -

A: The given equation is x4-2x3-21x2+22x+40=0.

Q: If the roots of the equation a(b-c)x² + b(c-a)x+ c(a - b) = 0 are equal, show that 2/b = 1/a + 1/c.

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Q: Find the fifth roots of ( -128  + i)

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Q: :05 / using complex numbers find roots for the equation 5x²-8x+5=0 -2.5 5 -2.5 5 5 9.3 5 9.3 Option…

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Q: Find the positive root of the equation 4x2 – 36 = 0.

A: We can find the answer as given below

Q: Find all complex number solutions 3/ t-5 - 4t/t+5 = 56/ t2- 25

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Q: How many complex roots has the equation x⁷ + x⁴ - x² - 3 = 0

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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.