Advertisements
Advertisements
प्रश्न
Write the following quadratic equation in standard form ax2 + bx + c = 0 : x (x + 3) = 7
उत्तर
x (x + 3) = 7 [Given]
∴ x2 + 3x = 7
x2 + 3x - 7 = 0
Now it is in the standard form of ax2 + bx + c = 0
APPEARS IN
संबंधित प्रश्न
Check whether the following is the quadratic equation:
x2 - 2x = (-2)(3 - x)
Check whether the following is quadratic equation or not.
`2x^2-sqrt(3x)+9=0`
In the following, determine whether the given values are solutions of the given equation or not:
`x^2-sqrt2x-4=0`, `x=-sqrt2`, `x=-2sqrt2`
Determine if, 3 is a root of the equation given below:
`sqrt(x^2-4x+3)+sqrt(x^2-9)=sqrt(4x^2-14x+16)`
Solve `x/3 + 3/(6 - x) = (2(6 + x))/15; (x ≠ 6)`
Solve `x/a - (a + b)/x = (b(a +b))/(ax)`
Solve the following equation for x and give, in the following case, your answer correct to one decimal place:
x2 – 8x + 5 = 0
Solve:
x4 – 2x2 – 3 = 0
Solve `((2x - 3)/(x -1)) - 4((x - 1)/(2x - 3)) = 3`
Solve for x using the quadratic formula. Write your answer correct to two significant figures.
(x – 1)2 – 3x + 4 = 0
Solve: x4 – 2x² – 3 = 0.
`6x^2+11x+3=0`
`4/x-3=5/(2x+3),x≠0,-3/2`
The perimeter of a rectangular field is 82m and its area is 400m2, find the dimension of the rectangular field.
If x = `2/3` is a solution of the quadratic equation 7x2+mx - 3=0;
Find the value of m.
In each of the following find the values of k of which the given value is a solution of the given equation:
x2 + 3ax + k = 0; x = a.
Solve the following equation by using formula :
`(x + 1)/(x + 3) = (3x + 2)/(2x + 3)`
Solve the following equation by using quadratic formula and give your answer correct to 2 decimal places : `2x - (1)/x = 1`
Choose the correct answer from the given four options :
Which of the following is a quadratic equation?
Write the given quadratic equation in standard form.
m (m – 6) = 9