If the roots of x² – 9x + 20 = 0 are α and β, what is α + β?
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For ax² + bx + c = 0, the sum of roots is -b/a.
Here, -(-9)/1 = 9.
Practice Pakistan questions with answers and explanations.
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For ax² + bx + c = 0, the sum of roots is -b/a.
Here, -(-9)/1 = 9.
Choose an option to check your answer.
For ax² + bx + c = 0, the product of roots is c/a.
Here, 20/1 = 20.
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Substitute x = -4 into the expression.
Then y = 3(-4) - 2 = -14.
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Slope-intercept form is y = mx + c.
With m = 2 and c = 3, the equation is y = 2x + 3.
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A point with x = 0 gives the y-intercept 4.
Using y = mx + c with m = -1 gives y = -x + 4.
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The sum of the roots is 6.
Their average is 6/2 = 3.
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The median is the middle value in ordered data.
The third of five values is 9.
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The total population is 100,000.
The largest town has 45,000, so the fraction is 45/100 = 9/20.
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The mode is the value occurring most often.
The number 4 appears three times.
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Rent and food use 55%, leaving 45%.
Forty-five percent of Rs. 60,000 is Rs. 27,000.
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Range equals maximum minus minimum.
Thus, 40 - 12 = 28.
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Compare Tuesday sales with Monday: 210/150 × 100.
This equals 140%.