Advertisements
Advertisements
प्रश्न
`x^2+8x-2=0`
Advertisements
उत्तर
`x^2+8x-2=0`
⇒`x^2+8x=2`
⇒`x^2+2xx x xx4+4^2=2+4^2`
⇒`(x+4)^2=2+16=18`
⇒`x+4=+-sqrt18=+-3sqrt2`
⇒`x+4=3sqrt2 or x+4=-3sqrt2`
⇒`x=-4+3sqrt2 or x=-4-3sqrt2`
Hence, `(-4+3sqrt2) and (-4-3sqrt2)` are the roots of the given equation.
APPEARS IN
संबंधित प्रश्न
Find two numbers whose sum is 27 and product is 182.
Solve the following quadratic equations by factorization:
4x2 + 4bx - (a2 - b2) = 0
A dealer sells an article for Rs. 24 and gains as much percent as the cost price of the article. Find the cost price of the article.
Solve the following quadratic equation by factorization:
`sqrt(6)x^2 - 4x - 2sqrt(6) = 0`
Solve:
x(x + 1) + (x + 2)(x + 3) = 42
Solve the following quadratic equations by factorization:
`(x-3)/(x+3 )+(x+3)/(x-3)=2 1/2`
One of the roots of equation 5m2 + 2m + k = 0 is `(-7)/5` Complete the following activity to find the value of 'k'.
If the equation x2 + 4x + k = 0 has real and distinct roots, then
If x = 1 is a common roots of the equations ax2 + ax + 3 = 0 and x2 + x + b = 0, then ab =
Solve the following equation: `"x"^2 - ( sqrt 2 + 1) "x" + sqrt 2 = 0 `
Solve the following equation: `"a"/("x" - "a") + "b"/("x" - "b") = (2"c")/("x" - "c")`
Solve the following equation: `("x" + 3)/("x" + 2) = (3"x" - 7)/(2"x" - 3)`
Two natural numbers differ by 4. If the sum of their square is 656, find the numbers.
The length of the sides forming a right angle in a triangle are 5x cm and (3x-1) cm. If the area of the triangle is 60cm2, find the hypotenuse.
Solve equation using factorisation method:
2(x2 – 6) = 3(x – 4)
Solve the following equation by factorization
(x – 4)2 + 52 = 132
If the product of two positive consecutive even integers is 288, find the integers.
Solve the following equation by factorisation :
2x2 + ax – a2= 0
Forty years hence, Mr. Pratap’s age will be the square of what it was 32 years ago. Find his present age.
Is 0.2 a root of the equation x2 – 0.4 = 0? Justify
