Advertisements
Advertisements
Question
Solve the following quadratic equation by factorization method
`sqrt(2)x^2 + 7x + 5sqrt(2)` = 0
Solution
`sqrt(2)x^2 + 7x + 5 sqrt(2)` = 0
`sqrt(2)x^2 + 2x + 5x + 5sqrt(2)` = 0
`sqrt(2) x (x + sqrt(2)) + 5 (x + sqrt(2))` = 0
`(x + sqrt(2)) + (sqrt(2)x + 5)` = 0 ........(equate the product of factors to zero)
`x + - sqrt(2)` = 0 or `sqrt(2)x + -5`
x = `(-5)/sqrt(2)`
The roots are `-sqrt(2), (-5)/sqrt(2)`
APPEARS IN
RELATED QUESTIONS
Determine the quadratic equation, whose sum and product of roots are `5/3, 4`
Find the sum and product of the roots for the following quadratic equation
x2 + 3x = 0
Solve the following quadratic equation by formula method
2x2 – 5x + 2 = 0
Solve the following quadratic equation by formula method
3y2 – 20y – 23 = 0
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?
The hypotenuse of a right angled triangle is 25 cm and its perimeter 56 cm. Find the length of the smallest side
Determine the nature of the roots for the following quadratic equation
x2 – x – 1 = 0
Find the value of ‘k’ to identify the roots of the following equation is real and equal
(5k – 6)x2 + 2kx + 1 = 0
If a, b are real then show that the roots of the equation (a – b)x2 – 6(a + b)x – 9(a – b) = 0 are real and unequal
The roots of the equation x2 + 6x – 4 = 0 are α, β. Find the quadratic equation whose roots are `2/alpha` and `2/beta`
