Find a negative real number such that the square of the sum of the number and 5 is equal to 1225. (Find a negative real number such that the square of the sum of the number and 5 is equal to 1225. (If th
Accepted Solution
A:
The number is -40Step-by-step explanation:Let x be the number that we have to findThen according to the given statementthe square of the sum of the number and 5 is equal to 1225. [tex](x+5)^2 = 1225[/tex]Taking square root on both sides[tex]\sqrt{(x+5)^2} = \sqrt{1225}\\x+5 = -35 and x+5 = -35\\[/tex]Subtracting 4 from both sides[tex]x+5-5 = 35-5\ and\\ x+5 = -35-5\\x = 30\ and\ x = -40[/tex]As it is mentioned in the equation, that the number is a negative numberSo,x = -40Keywords: Radicals, Linear equationsLearn more about radicals at:brainly.com/question/11207748brainly.com/question/11280112#LearnwithBrainly