Quadratic Equations: 10 Problems
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Find all real or imaginary solutions to each equation.
Use the method of your choice:
1. w^2 = -225
2. 3y^2 + 4v -1 = 0
3. sqrt(7)x + 29 = x + 3
Solve each equation by using the quadratic formula:
4. x ^2 + 4x + 3 = 0
5. - 8 q^2 - 2q + 1 = 0
6. -3x^2 - 2x - 5 = 0
Find the discriminant b^2-4ac and the number of real solutions to each of the following quadratic equations:
7. 9m^2 + 16 = 24m
8. - 3x^2 + 7x = 0
Find all real solutions to each equation.
9. x^2 + x + sqrt (x)^2 + x - 2 = 0
10. b^4 + 13b^2 + 36 - 0
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This solution is comprised of detailed step-by-step calculations of the given problems related to Quadratic Equations and provides students with a clear perspective of the underlying concepts.
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Solve Problems for Chapter 10
Find all real or imaginary solutions to each equation.
Use the method of your choice
w ^2 = -225
w^2=-225
Or,w=√(-225)
Or,w=15√(-1)
Or,w=15i
86. 3y^2 + 4y -1 = 0
3y^2 + 4y -1 = 0
The roots of the given quadratic equation (by using quadratic formula) are given as follows:
y=(-4±√(4^2-4×3×(-1) ))/(2×3)=(-4±√28)/6=(-4±2√7)/6=(-2±√7)/3
96. √7 x + 29 = x + 3
√7 x + 29 = x + 3
Or,√7 x-x=3-29 [On re-arranging the terms]
Or,(√7-1)x=-26
Or,x=-26/(√7-1)
Or,x=(-26(√7+1))/(√7-1)(√7+1)
Or,x=(-26(√7+1))/6
Or,x=(-13(√7+1))/3
Using the formula
Solve each equation by ...
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