If you take an equation such as Ax2+ Bx+c=0, you can complete the square and then use the square root property to solve it. That is how we derive the quadratic equation. For example, x2+2x-9=0 We write this as (x+1)2=10 bu completing the square then the square root property tell us that x+1 is PLUS OR MINUS Square root of 10
x2 + 20x +0 =30 [(20/2)2 =100] x2 + 20x + 100 =30 +100 √(x+10)2=√130 x+10=√130 x= −10+√130 √ means square root
I assume you mean the equation 2x2 + 12x - 10 = 0. Divide by 2: x2 + 6x - 5 = 0 To complete the square, the constant part (the part with no variable) must be half the linear part (1/2 of 6), squared, so in this case you add 14 to each side: x2 + 6x +9 = 14 This can be factored: (x+3)2 = 14 Now, just take the square root of each side: x + 3 = (plus-or-minus) 14 Solve the resulting two equations (one for plus, one for minus).
show how to solve -2X-4<10 -2X<14 X>-7 (you must change the sign when multiplying or dividing by negatives) Not sure what show steps of how to solve- 10 of 90 means
10 x 10 = 100 so 10 is the square root of 100 :)
If you take an equation such as Ax2+ Bx+c=0, you can complete the square and then use the square root property to solve it. That is how we derive the quadratic equation. For example, x2+2x-9=0 We write this as (x+1)2=10 bu completing the square then the square root property tell us that x+1 is PLUS OR MINUS Square root of 10
x2 + 20x +0 =30 [(20/2)2 =100] x2 + 20x + 100 =30 +100 √(x+10)2=√130 x+10=√130 x= −10+√130 √ means square root
Let's x be one of the numbers, and y the other number. So, x + y = -8 xy = 6 y = -x - 8 x(-x -8) = 6 -x^2 - 8x = 6 multiply by -1 both sides x^2 + 8x = -6 solve for x by completing the square; x^2 + 8x + 16 = -6 + 16 (x + 4)^2 = 10 x + 4 = square root of 10 x = -4 + square root of 10 or x = -4 - square root of 10 if we continue to solve the system of the equations, we can find the same value for y. Thus the numbers are -4 + square root of 10 and -4 - square root of 10. Check: (-4 + square root of 10) + (-4 - square root of 10) = -4 + square root of 10 - 4 - square root of 10 = -8 (-4 + square root of 10)(-4 - square root of 10) = (-4)^2 - (square root of 10)^2 = 16 - 10 = 6
Take the square root of both sides. x=the square root of 10. It is an irrational number. Approximately 3.15
If x squared -10 = 0 then x = the square root of 10
Find the largest square that is a factor. That's 100. THe answer will be 10 times the square root of 2. √200 = √2 x 100 = √2 x √100 = 10√2
I assume you mean the equation 2x2 + 12x - 10 = 0. Divide by 2: x2 + 6x - 5 = 0 To complete the square, the constant part (the part with no variable) must be half the linear part (1/2 of 6), squared, so in this case you add 14 to each side: x2 + 6x +9 = 14 This can be factored: (x+3)2 = 14 Now, just take the square root of each side: x + 3 = (plus-or-minus) 14 Solve the resulting two equations (one for plus, one for minus).
7r2 = 70r-175 Rearrange the equation and treat it as a quadratic equation: 7r2-70r+175 = 0 Divide all terms by 7: r2-10+25 = 0 Solve by factoring or using the quadratic equation formula or by completing the square: (r-5)(r-5) x = 5 and x also = 5 (they both have equal roots)
-24m = 56Improved answer:First divide all terms by 4 and then solve this quadratic equation by completing the square which will have two solutions:m2-10+14 = 0(m-5)2+14 = 0(m-5)2+14-25 = 0(m-5)2 = 11m-5 = + or - the square root of 11m = 5 + or 5 - the square root of 11Alternatively you can solve this equation by using the quadratic equation formula which will give you the same answer.Your tutor should be familiar with the above methods of solving quadratic equations if you aren't too sure.
16
Can you solve this try (no calculator)
The correct answer is 10 times the square of 2. You must use the Pythagorean Theorem, which is a2+b2=c2. The sides if the square measure 10 cm because adding all four sides will give you the perimeter of 40 cm. Replace a and b with 10 and solve for c.