Advertisements
Advertisements
Question
Solve the following quadratic equation by using formula method :
7y2 - 5y - 2 = 0
Solution
7y2 - 5y - 2 = 0
Comparing with ax2 + bx + c = 0
a = 7, b = -5 and c = -2
b2 - 4ac = (-5)2 - 4(7) (-2)
= 25 + 56
= 81
By formula method
Y = `(-"b" ± sqrt(b^2 - 4"ac"))/"2a"`
= `(5 ± sqrt81)/"2(7)"`
= `(5 ± 9)/14`
Y = `(5 + 9)/14` Or Y = `(5 - 9)/14`
Y = `14/14` Or Y = `4/14`
Y = 1 Or Y = `(-2)/7`
APPEARS IN
RELATED QUESTIONS
Check whether the following is the quadratic equation:
(x + 2)3 = 2x(x2 - 1)
Find the value of discriminant (Δ) for the quadratic equation: `x^2+7x+6=0`
Without solving the following quadratic equation, find the value of m for which the given equation has equation has real and equal roots.
`x^2 + 2(m - 1)x + (m + 5) = 0`
Check whether the following is quadratic equation or not.
`sqrt(3x^2)-2x+1/2=0`
Check whether the following is quadratic equation or not.
`x^2+1/x^2=5`
Check whether the following is quadratic equation or not.
(2ЁЭСе + 1)(3ЁЭСе + 2) = 6(ЁЭСе − 1)(ЁЭСе − 2)
If x = 2/3 and x = −3 are the roots of the equation ax2 + 7x + b = 0, find the values of aand b.
A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of articles produced in a day. On a particular day, the total cost of production was Rs. 750. If x denotes the number of toys produced that day, form the quadratic equation fo find x.
Solve `(x - 3)/(x + 3) + (x + 3)/(x - 3) = 2 1/2`
Solve `x/a - (a + b)/x = (b(a +b))/(ax)`
Solve for x using the quadratic formula. Write your answer correct to two significant figures.
(x – 1)2 – 3x + 4 = 0
`x^2+12x+35=0`
`3sqrt7x^2+4x-sqrt7=0`
`1/(x-2)+2/(x-1)=6/x,≠0,1,2`
Check whether the following are quadratic equations: `x + (2)/x = x^2, x ≠ 0`
Solve the following equation by using formula :
2x2 – 7x + 6 = 0
Solve the following equation by using formula :
4x2 – 4ax + (a2 – b2) = 0
Solve the following equation: `x - (18)/x = 6`. Give your answer correct to two x significant figures.
Choose the correct answer from the given four options :
The roots of the equation x2 – 3x – 10 = 0 are
