Advertisements
Advertisements
Question
Solve the following quadratic equation by factorization method
4x2 – 7x – 2 = 0
Solution
4x2 – 7x – 2 = 0
4x2 – 8x + x – 2 = 0
4x(x – 2) + 1(x – 2) = 0
(x – 2) + (4x + 1) = 0
x – 2 = 0 or 4x + 1 = 0 ......(equate the product of factors to zero)
x = 2 or 4x = –1 ⇒ x = `(-1)/(4)`
The roots are 2; `(-1)/(4)`
APPEARS IN
RELATED QUESTIONS
Determine the quadratic equation, whose sum and product of roots are `5/3, 4`
Determine the quadratic equation, whose sum and product of roots are `(-3)/2`, – 1
Find the sum and product of the roots for the following quadratic equation
x2 + 3x – 28 = 0
Solve the following quadratic equation by factorization method
`sqrt(2)x^2 + 7x + 5sqrt(2)` = 0
A ball rolls down a slope and travels a distance d = t2 – 0.75t feet in t seconds. Find the time when the distance travelled by the ball is 11.25 feet
A garden measuring 12m by 16m is to have a pedestrian pathway that is ‘ω’ meters wide installed all the way around so that it increases the total area to 285 m2. What is the width of the pathway?
If the roots of (a – b)x2 + (b – c)x + (c – a) = 0 are real and equal, then prove that b, a, c are in arithmetic progression
Write the following expression in terms of α + β and αβ
`(alpha + 3)/beta + (beta + 3)/alpha`
The roots of the equation x2 + 6x – 4 = 0 are α, β. Find the quadratic equation whose roots are `2/alpha` and `2/beta`
If α, β are the roots of 7x2 + ax + 2 = 0 and if β – α = `(-13)/7` Find the values of a
