Advertisements
Advertisements
Question
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)
Solution
x2 + 5x = –(3 – x)
\[\Rightarrow x^2 + 5x + 3 - x = 0\]
\[ \Rightarrow x^2 + 4x + 3 = 0\]
So, it is of the form ax2 + bx + c = 0 where a = 1, b = 4 and c = 3.
APPEARS IN
RELATED QUESTIONS
Which of the following is a quadratic equation?
(a)` (x^2+1)=(2-x)^2+3` (b)` x^3-x^2=(x-1)^3`
(c) `2x^+3=(5+x)(2x-3)` (d) None of these
If α and β are the roots of the equation `3x^2+8x+2=0` then (1/α+1/β)=?
(a)` -3/8` (b) `2/3` `(c) -4 (d)4`
Show the x= -3 is a solution of `x^2+6x+9=0`
Solve `sqrt3x^2-2sqrt2x-2sqrt3=0`
If 1 is a root of the equations ay2 + ay + 3 = 0 and y2 + y + b = 0 then ab equals: ?
Write the following equation in the form ax2 + bx + c= 0, then write the values of a, b, c for the equation.
x2 – 9 = 13
Product of Pragati’s age 2 years ago and 3 years hence is 84. Find her present age.
The Sum of squares of 2 consecutive natural even numbers is 244; find the numbers.
Vivek is older than Kishor by 5 years. The sum of the reciprocals of their ages is \[\frac{1}{6}\] Find their present ages.
Choose the correct answer for the following question.
Which of the following quadratic equations has roots 3,5?
Find the value of m so that the quadratic equation mx (x − 7) + 49 = 0 has two equal roots.
Solve any four of the following.
Find the value of y in the equation x + y = 12, when x = 5
Select the correct alternative and write it.
What is the solution of the quadratic equation ` 2x^2-7x+6=0`
Solve the following quadratic equation :
x2 +8x + 15 = 0
Write the following equation in the form ax2 + bx + c= 0, then write the values of a, b, c for equation.
P(3+6p) = –5
A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. Determine the speed of the stream and that of the boat in still water.
Find k, one of the roots of the quadratic equation kx2 - 7x + 12 = 0 is 3.
Construct a word problem on quadratic equation, such that one of its answers is 20 (years, rupees, centimeter, etc.). Also, solve it.
Mukund has ₹ 50 more than Sagar. If the product of the amount they have is 15,000, then find the amount each has
If 460 is divided by a natural number, then quotient is 2 more than nine times the divisor and remainder is 5. Find the quotient and divisor.
