For the quadratic equation 2x2 + 2x + 7 = 0, The value of the discriminant, 62 4ac, is How many distinct real solutions are possible?

Q: Use the quadratic formula to solve for x. 2x2 - 3x-7=0 (If there is more than one solution, separate…

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Q: If -5 is a root of the quadratic equation 2x2+px-15 = 0 and the quadratic equation p(x2+x)+k=0 has…

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Q: If the solutions of a quadratic equation are x = 6 and x = -2, write the possible trinomial these…

A: Given, x=6 and x=-2

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

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Q: Find, in its simplest form, the quadratic equation with the following pair of solutions: 3/5 ± 3i

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Q: What is the discriminant of the quadratic equation ax + bx + c = 0? Find the discriminant of 2r - 3x…

A: The discriminant of the quadratic equation ax2+bx+c=0 is given by D=b2-4ac. The rules that defines…

Q: What is the value of 'k' if the roots of the quadratic equation 2x*2 +kx +2=0 are equal?

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Q: If the discriminant of a quadratic equation is -2, then the equation has  ?      . If the…

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Q: Find all real solutions of the equation: (5x + 9)4 − (5x + 9)3 = 0

A: Here we have to find the all real solutions of the equation: (5x + 9)4 − (5x + 9)3 = 0

Q: fa is a root of the equation 4x² + 2x - 1 = 0, then prove that ²3 is the other root

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Q: Solve the following quadratic equation by factorization method 4x2-4qx+(a2-b2)=0

A: 4x2-4qx+a2-b2=0⇒2x2-2.2x.q+q2-q2+a2-b2=0⇒2x-q2-q2+b2-a2=0⇒2x-q2-q2+b2-a22=0⇒(2x-q+q2+b2-a2)…

Q: solve the following quadratic equation by factorisation method : x2-2ax+a2-b2=0

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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: The product of all of the solutions of (4x + 2k )(2- 5x)=0 is (-15). Find k.

A: 4x+2k2-5x=0solutions:4x+2k=0    or   2-5x=0x=-k2         or    x=25

Q: Find all real solutions of the equation by first factoring the left hand side and then taking a…

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

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Q: Find all real and imaginary solutions to the equation. 4x3 – 28x? – x + 7 = 0 -

A: We will find the real and imaginary roots of given cubic equation as shown below

Q: The solutions to the quadratic equation x2 – 11x + 22 = 0 are x = 3 and x = :6. What is the base of…

A: Let the base be 'b' 11 (base b)= (b+1) of [ base 10] 22 (base b)=(2b+2) of [base 10] Now we know…

Q: Find the constant k so that the quadratic equation 2x2 + 5x - k = 0 has two real solutions.

A: To have real solutions for quadratic equation ax^2+bx+c =0 We must have b^2 - 4ac ≥ 0

Q: solve the following quadratic equation by factorization 2x 1 3x + 9 + 2а + 3 = 0 (и — 3)(2а + 3) -

A: The given expression is,2xx-3+12x+3+3x+9(x-3)(2x+3)=0

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

A: Suppose ax2+bx+c = 0 is a quadratic equation. The discriminant of the quadratic equation is b2-4ac.…

Q: Find the solutions of the following quadratic equation. x2 – 19x + 90 = 0 -

A: Given a quadratic equation x2-19x+90=0 To solve the equation

Q: .2 For the quadratic equation 2x + 2x + 7 = 0, The value of the discriminant, b² - 4ac, is How many…

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Q: The discriminant of the quadratic equation 3x2 + 6x - 1 = 0 is [ Select ] and tells us that there…

A: we have to find the discriminant

Q: Find the roots of the equation using the quadratic formula 7x² + 3x-1=0

A: The given equation is 7x2+3x-1=0. We have to find roots of the equation using quadratic formula.…

Q: Use the Quadratic Formula and a calculator to find all real solutions, rounded to three decimals. x2…

A: x2-0.011x-0.064=0 Comparing with ax2+bx+c=0, we get a=1,  b=-0.011  &  c=-0.064

Q: Find the real solutions, if any exist, for 3x2-4x+2=-16.

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

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

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

A: The discriminant, D , for the quadratic equation, is calculated using the formula, .

Q: What is the discriminant of the quadratic equation 0 = –x² + 4x – 2? O 8 O 12 O 24

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

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Q: In order to solve 2x2 + 9x - 5 = 0 by the quadratic formula, we use a =______ , b =________ , and c…

A: The general form of the quadratic equation is, ax2+bx+c=0.   Compare 2x2+9x-5=0 with ax2+bx+c=0.…

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic ed 5x…

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Q: Use the Quadratic Formula and a calculator to find all real solutions, rounded to three decimals. x2…

A: Using the quadratic equation to find the value of x compare the equation with ax2+bx+c=0 multiply…

Q: Solve the following equation that is quadratic in form. X4-6x2+8=0

A: Use substitution

Q: How many real roots does the quadratic equation 3x² + 2x - 9 = 0 have?

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

A: Consider the given quadratic equation. 3x2-8x+2=0 The objective of the question is to find the…

Q: b) Solve algebraically for x: 54x = 125*-1

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Q: The quantity under the radical sign of the Quadratic Formula, b2 − 4ac, is the ________.

A: The quantity under the radical sign of the Quadratic Formula, b2 − 4ac, is the Discriminant…

Q: Use the techniques presented in this section to find all solutions of the given equation   8x3 +…

A: Given: 8x3+12x2+150x+25=0 To Find: All solutions of the given equation. Concept: if…

Q: (d) Use the quadratic formula to solve 3x² + 2x = 7

A: Given equation is  3x2 + 2x = 7  =>  3x2 + 2x - 7  =  0   Thus, comparing with standard quadratic…

Q: x² + 5x+ 4 = 0 +3x-10 = 0 %3D

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Q: Compute the value of the discriminnant and give the number of real Solutions of the ive yuadratic…

A: We are given the equation -2x2-8x-9=0. The discriminant is -82-4-2-9=-8<0. So, the roots are…

Q: x2 - 8x = 0 %3D 6x2 – 12x = 0 %3D - x² - 64 = 0

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Q: Show that the real solutions of the equation ax2 + bx + c = 0 are the negatives of the real…

A: Show that the real solutions of the equation ax2 + bx + c = 0 are the negatives of the real…

Q: Use the quadratic formula to solve for X. 6x²-9x+1=0

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Q: For what values of b the equation       x2 - 4x + 4b = 0 has two real solutions?

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Q: Use the Quadratic Formula and a calculator to find all real solutions, rounded to three decimals. x2…

A: To Determine: Use the Quadratic Formula and a calculator to find all real solutions, rounded to…

Q: For what values of k will the quadratic equation x2 + kx+ 16 = 0 have two equal real roots?

A: The values of k are, - 8 & 8.

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.