The roots are 1 +√7 and 1 -√7.
<h3>What is Quadratic equation?</h3>
A quadratic equation in the variable x is an equation of the form ax² + bx + c= 0, where a, b, c are real numbers, a≠0
Given equation:
y= x²+2x-6
First,
Half the coefficient of x and add and subtract the square of (b/2)
y= x²+2x-6+(1)²-(1)²
y= x²+2x+(1)² -6 -(1)²
y= (x+1)² -7
Now, equate y=0
(x+1)² -7 =0
(x+1)² = 7
x+1= ±√7
x=1 ±√7
Hence, the roots are 1 +√7 and 1 -√7.
Learn more about quadratic equation here:
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Answer:
x²-12x+36
Step-by-step explanation:
an expression in the form (a-b)² is expanded to the form a²-2ab+b²
you can also expand it to (x-6)×(x-6) then multiply the first term by the first the outer term by the outer term the inner term by the inner term and the last term by the last term (foil)
the first terms are x and x = x² the outer terms are x and -6 = -6x the inner terms are also x and -6 = -6x
the last terms are 6 and 6 = 36
adding all the four products =
x²-12x+36
Answer:
6
Step-by-step explanation:
Well,
If the length of the legs of the second triangle are proportional to the lengths of the legs of the first triangle, we could simply multiply both of the dimensions by whole numbers and get an infinite number of proportional lengths.
Example:
4.5 * 2 = 9
1.5 * 2 = 3
A triangle with legs measuring 9 meters and 3 meters will be proportional to the first triangle with leg lengths of 4.5 and 1.5 meters, respectively.
More proportional lengths:
4.5 * 3 = 13.5
1.5 * 3 = 4.5
4.5 * 4 = 18
1.5 * 4 = 6
