Binomials

To binomial

$36x^2-168x$

add a number to the resulting trinomial be square of binomial.

Correct answer:

x =  196

Step-by-step explanation:

$$\begin{gathered} x={\displaystyle \frac{(-168{)}^2}{4\cdot 36}}=196 \\ 36x^2-168x+196=(6x-14{)}^2 \end{gathered}$$

Try another example

Related math problems and questions:

• Square Number
  If to a square of integer number add 17, we get the square of the next integer number. What is the original number?
• Tablecloths
  The restaurant has sixty-two square tablecloths with a side length of 150 cm and 36 rectangular tablecloths with dimensions of 140 cm and 160 cm. A) How many meters of hemming ribbon will be needed if we add 50 cm to each tablecloth? B) The ribbon sale in
• Garden
  The area of a square garden is 2/9 of triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing need to fence a square garden?
• EQ2
  Solve quadratic equation: 2x²- 2(x-7)²+5x=0
• Quadratic equation
  Quadratic equation 7x²+bx+c=0 has roots x₁ = 67 and x₂ = -84. Calculate the coefficients b and c.
• Powers
  Is true for any number a,b,c,d equality:? ?
• Triangle SAS
  Calculate the triangle area and perimeter, if the two sides are 51 cm and 110 cm long and angle them clamped is 130 °.
• Trapezoid 15
  Area of trapezoid is 266. What value is x if bases b1 is 2x-3, b2 is 2x+1 and height h is x+4
• Isosceles triangle 9
  Given an isosceles triangle ABC where AB= AC. The perimeter is 64cm, and the altitude is 24cm. Find the area of the isosceles triangle.
• Bundle of candies
  In the store has 168 chocolates, caramel candies 224 and 196 hard candies. How many packages we can do and how many of candies will be in each package?
• Reverse Pythagorean theorem
  Given are lengths of the sides of the triangles. Decide which one is rectangular: Δ ABC: 77 dm, 85 dm, 36 dm ... Δ DEF: 55 dm, 82 dm, 61 dm ... Δ GHI: 24 mm, 25 mm, 7 mm ... Δ JKL: 32 dm, 51 dm, 82 dm ... Δ MNO: 51 dm, 45 dm,
• RWY
  Calculate the opposite direction of the runway 13. Runways are named by a number between 01 and 36, which is generally one tenth of the azimuth of the runway's heading in degrees: a runway numbered 09 points east (90°), runway 18 is south (180°), runway 2
• Eq2 equations
  For each of the following problems, determine the roots of the equation. Given the roots, sketch the graph and explain how your sketch matches the roots given and the form of the equation: g(x)=36x²-12x+5 h(x)=x²-4x+20 f(x)=4x²-24x+45 p(x)=9x²-36x+40
• Trapezoid
  Area of trapezoid is 135 cm². Sides a, c and height h are in a ratio 6:4:3. How long are a,c and h? Make calculation...
• Tiles
  From how many tiles 20 cm by 30 cm, we can build a square of maximum dimensions if we have maximum 881 tiles.
• What is 10
  What is the measure of the square side whose area is (4x² + 28x+49) square units?
• Tiles
  How many tiles of 20 cm and 30 cm can build a square if we have a maximum of 100 tiles?