Transpose all the terms in the left hand side of the equation. The equation then becomes,
8x² - 22x - 6 =0
Divide both sides of the equation by 2,
4x² - 11x - 3 = 0
In this equation, A = 4, B = -11, and C = -3
With the variables identified, the quadratic equation can be used to identify the roots,
x = (-B +/- √B² - 4AC) / 2A
The values of x in the equation are,
<em> x = 3 and x = -1/4
</em><em />Thus, the one of the answer to this item is the third choice, x = 3. <em>
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The Given Expression is : → x² + 13
= x² + (√13)²
= x² - ( i √13)² As , i²= -1 because , i = √-1
= (x - i√13)(x +√13) → Using the formula , A² - B² = (A-B)(A+B)
Out of the four options Given : Option C →(x - i√13)(x +√13) is true regarding the expansion of function x² + 13.
If x = 3 is a solution, (x - 3) is a factor of f(x).
2x³ + x² - 25x + 12 ÷ (x - 3) [by long division] = 2x² + 7x - 4
so f(x) = (x - 3)(2x² + 7x - 4)
f(x) = (x - 3)(2x - 1)(x + 4)
so 'zeros', or more correctly solutions, are: x = 3, x = 1/2 and x = -4.
[by setting each of the factors equal to 0 and solving for x].
Answer:
A=8 B=15 C=40
Step-by-step explanation:
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