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प्रश्न
Write any two quadratic equations.
उत्तर
Two quadratic equations are \[x^2 + 10x - 200 = 0\] and \[x^2 + 5x - 6 = 0\].
APPEARS IN
संबंधित प्रश्न
If one root of the equation `2x^2+ax+6=0` 2 then a=?
(a)7 (b)-7 (c) 7/2 (d)-7/2
If the equation `4x^2-3kx+1=0` has equal roots then value of k=?
(a)`+-2/3` (b)`+-1/3`
(c)` +-3/4` (d) `+-4/3`
If the equation `x^2+5kx+16=0` has no real roots then
(a)`k>8/5` (b) `k(-8)/5`
(c)` (-8)/5<k<8/5` (d) None Of these
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Solve `x^2+5x-(a^2+a-6)=0`
Write the following equation in the form ax2 + bx + c= 0, then write the values of a, b, c for the equation.
x2 + 5x = –(3 – x)
Write the following equation in the form ax2 + bx + c= 0, then write the values of a, b, c for the equation.
3m2 = 2m2 – 9
Write the following equation in the form ax2 + bx + c= 0, then write the values of a, b, c for the equation.
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\[x^2 - \frac{3x}{10} - \frac{1}{10} = 0\]
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Mukund has ₹ 50 more than Sagar. If the product of the amount they have is 15,000, then find the amount each has
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
If both the roots of the quadratic equation x2 – 2kx + k2 + k – 5 = 0 are less than 5, then k lies in the interval is ______.
