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प्रश्न
The sum of the roots of the equation` x^2-6x+2=0`
(a) 2 (b)-2 (c)6 (d)-6
उत्तर
(b)-2
Sum of the roots of the equation `x^2-6x+2=0` is
`α+β=-b/a=-(-6)/1=6` where α and β are the roots of the equation.
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संबंधित प्रश्न
The roots of the equation 2x^2-6x+7=0 are
(a) real, unequal and rational (b) real, unequal and irrational (c) real and equal (d) imaginary
If the quadratic equation `px^2-2sqrt5px+15=0` has two equal roots then find the value of p.
If 1 is a root of the equation `ay^2+ay+3=0` and `y^2+y+b=0` then find the value of ab.
If 1 is a root of the equations ay2 + ay + 3 = 0 and y2 + y + b = 0 then ab equals: ?
Choose the correct answer for the following question.
Out of the following equations, find the equation having the sum of its roots –5.
Choose the correct answer for the following question.
One of the roots of equation x2 + mx – 5 = 0 is 2; find m.
If P(y) = y² - 2y + 5, find P(2) .
Select the correct alternative and write it.
What is the solution of the quadratic equation ` 2x^2-7x+6=0`
Form a quadratic equation such that one of its roots is 5. Form a quadratic equation for it and write. (For the formation of word problems you can use quantities like age, rupees, or natural numbers.) (Sample solution for the above example is given below students can take another number to form another example)
Solution:
We need one of the solutions of the quadratic equation as 5.
Then we can take another root as any number like a positive or negative number or zero. Here I am taking another root of the quadratic equation as 2.
Then we can form a word problem as below,
Smita is younger than her sister Mita by 3 years (5 – 2 = 3). If the product of their ages is (5 × 2 = 10). Then find their present ages.
Let the age of Mita be x.
Therefore age of Smita = x – 3
By the given condition,
x(x – 3) = 10
x2 – 3x – 10 = 0
Let p and q be two positive numbers such that p + q = 2 and p4 + q4 = 272. Then p and q are roots of the equation ______.
