The answer is 24
Explanation: no need for one :)
1. x^2 + 13x + 36 = 0
using powerful & time-sparing quadratic formula :
delta = 13^2 - 4*1*36 = 25 = 5^2
x1 and x2 = (-13 -/+ 5)/2 = -9 and -4
x^2 + 13x + 36 = (x+9)(x+4)
2. other way : complete the square
b^2 + 12b + 32 = b^2 + 2*6b + 6^2 - 6^2 + 32
b^2 + 12b + 32 = (b+6)^2 - 4
b^2 + 12b + 32 = (b+6-2)(b+6+2) = (b+4)(b+8)
3. other way : -4 "ovious" solution : (-4)^2 - (-4) -20 = 0
so the other is : -4 . a2 = -20/1 ---> a2 = 5
a^2 - a - 20 = (a-5)(a+4)
The real solution of the given equation by factoring x² = 5(x + 210) will be -30 and 35.
<h3>What are the roots of an equation?</h3>
The roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.
As per the given equation,
x² = 5(x + 210)
x² = 5x + 1050
x² - 5x - 1050 = 0
x² - 35x + 30x - 1050 = 0
x(x - 35) + 30(x - 35) = 0
(x + 30)(x - 35) = 0
x = -30 and x = 35
Hence "The real solution of the given equation by factoring x² = 5(x + 210) will be -30 and 35".
To learn more about the roots of equations,
brainly.com/question/12029673
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Answer:
Bonaventura Francesco Cavalieri (Latin: Cavalerius; 1598 – 30 November 1647) was an Italian mathematician and a Jesuate. He is known for his work on the problems of optics and motion, work on indivisibles, the precursors of infinitesimal calculus, and the introduction of logarithms to Italy.
1/10 is the answer for this!
