answersLogoWhite

0

x2 - 18x + 72 = 0

(x - 6)(x - 12) = 0

x ∈ {6, 12}

User Avatar

Wiki User

14y ago

What else can I help you with?

Continue Learning about Algebra

What are the solutions for the quadratic equation x2 minus 21x equals 72?

x2 - 21x = 72x2 - 21x - 72 = 0(x - 24) (x + 3) = 0x = 24x = -3


What is the equation of 72 in 6?

As an equation if: 6x = 72 then x = 12


Factor 2x squared plus 6x - 8 equals 72?

2x2 + 6x - 8 = 72 ∴ 2x2 + 6x + 64 =0 ∴ x2 + 3x + 32 = 0 This can not be factored, as x is not equal to any integer. Using the quadratic equation, we find that: x = -3/2 ± √119 / 2i


What is x2-72x-735 factored?

I assume you mean; X^2 - 72X - 735 = 0 The only way I would do this is by the quadratic formula discriminant (-72)^2 - 4(1)(-735) = 8124 and means two real roots X = - b (+/-) sqrt(b^2-4ac)/2a a = 1 b = - 72 c = - 735 X = - (-72) (+/-) sqrt[(-72)^2 - 4(1)(-735)]/2(1) X = 72 (+/-) sqrt(8124)/2 X = [72 (+/-) 2sqrt(2031)]/2 Ugly, but true.


What is the new Transforming Method to solve quadratic equation?

Solving quadratic equations by the new Transforming Method. It proceeds through 3 Steps. STEP 1. Transform the equation type ax^2 + bx + c = 0 (1) into the simplified type x^2 + bx + a*c = 0 (2), with a = 1, and with C = a*c. STEP 2. Solve the transformed equation (2) by the Diagonal Sum Method that immediately obtains the 2 real roots y1, and y2. STEP 3. Divide both y1, and y2 by the coefficient a to get the 2 real roots of the original equation (1): x1 = y1 /a, and x2 = y2/a. Example 1. Solve: 12x^2 + 5x - 72 = 0 (1). Solve the transformed equation: x^2 + 5x - 864 = 0. Roots have different signs (Rule of Signs). Compose factor pairs of a*c = -864 with all first numbers being negative. Start composing from the middle of the factor chain to save time. Proceeding:.....(-18, 48)(-24, 36)(-32, 27). This last sum is -32 + 27 = -5 = -b. Then, the 2 real roots of (2) are: y1 = -32, and y2 = 27. Back to the original equation (1), the 2 real roots are: x1 = y1/a = -32/12 = -8/3, and x2 = y2/a = 27/12 = 9/4. Example 2. Solve 24x^2 + 59x + 36 = 0 (1). Solve the transformed equation x^2 + 59x + 864 = 0 (2). Both roots are negative. Compose factor pairs of a*c = 864 with all negative numbers. To save time, start composing from the middle of the factor chain. Proceeding:....(-18, -48)(-24, -36)(-32, -27). This last sum is -59 = -b. Then 2 real roots of equation (2) are: y1 = -32 and y2 = -27. Back to the original equation (1), the 2 real roots are: x1 = y1/24 = -32/24 = -4/3, and x2 = y2/24 = -27/24 = -9/8. To know how does this new method work, please read the article titled: "Solving quadratic equations by the new Transforming Method" in related links.

Related Questions

What is the x intercept of 18x plus 12y equals 72?

18x + 12y = 72 to get x-int. put y=0 18x + (12)(0) = 72 18x = 72 x = 4 your x-intercept is 4. this is the place where the line goes through the x-axis.


The product of two consecutive no is 72 Find the no?

let 2 consecutive numbers be x and x+1, so product will be x^2+x = 72 i.e x^2 + x - 72 = 0 finding roots of quadratic equation x= -9 or x = 8 x = 8 satisfies given condition so is the answer.


How do you answer 2x² plus 6x minus 8 equals 72?

Using the quadratic equation formula the value of x is -8 or 5


What is 5n2 31n-72?

The expression "5n^2 + 31n - 72" is a quadratic polynomial in terms of the variable ( n ). It can be analyzed using methods such as factoring, completing the square, or applying the quadratic formula to find its roots. If you need specific information about its properties or solutions, please clarify!


What are the solutions for the quadratic equation x2 minus 21x equals 72?

x2 - 21x = 72x2 - 21x - 72 = 0(x - 24) (x + 3) = 0x = 24x = -3


The square of 9 more than a number is equal to 9 more than a square of the number what is the number?

(x+9)^2 =x^2 + 9 X^2 + 18x + 81 = X^2 +9 18X + 72 = 0 18X = -72 X =- 4


What are the zeros and vertex in this quadratic equation 50x2-72?

(-1.2,0),(1.2,0)v(0, -72)50x^2-72=0 factor out 22(25x^2-36)=02(5x+6)(5x-6)=0x=-6/5 and x=6/5The average of these two is zero, substitute that into the equation and you get -72.


What is the vertex of the quadratic equation y equals x squared minus x plus 72?

(1/2, 71 and 3/4)or(0.5, 71.75)


Which statement about the quadratic equation below is true -4.5x2 plus 72 0 A) The equation has x 4 as its only solution B) The equation has no real solutions C) The equation has x 4 and x?

I gotchu homie: It's The equation has x = 4 and x = -4 as its only solutions.


What two numbers multiplied equals -72 but when added together equals -17?

The numbers are: 3.51041215 and -20.51041215 A more accurate answer can be found by using the quadratic equation formula


What is the equation of 72 in 6?

As an equation if: 6x = 72 then x = 12


What is the value of the discriminant of the polynimial 4x2 plus 7x plus 4?

72-4*4*4 = -15 The discriminant is less than zero so there's no solutions to the quadratic equation.