Answer :
The quadratic equations are 2b(b - 7) + b = 0 and (4a + 2)(2a - 1) + 1 = 0 .
what is Quadratic Equation?
An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x² (a ≠ 0) for an equation to be a quadratic equation. The x² term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term.
Given:
a) 2b(b - 7) + b = 0
2b² - 14b + b = 0
2b² - 13b = 0
b) (4a + 2)(2a - 1) + 1 = 0
8a² - 4a + 4a + 1 =0
8a² 1 =0
c) 2y + 2(3y - 5) = 0
2y+ 6y- 10 = 0
8y -10=0
d) 8 - 5x = 4(3x - 1)
8- 5x= 12x- 4
Hence, the quadratic equations are 2b(b - 7) + b = 0 and (4a + 2)(2a - 1) + 1 = 0 .
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