Answer:

[tex]x^2 = 3x + 70[/tex]

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Verified answer

Step-by-step explanation:

The values of the unknown number is 7 or - 10

The given expression from words to algebra;

let the unknown number = n

the square of the number = n²

three times the number = 3n

n² + 3n = 70

To find:

the values of n

The values of n is calculated as follows;

n²+3n=70

n²+3n−70=0

factorize the equation;

n²+10n−7n−70=0

n(n+10)−7(n+10)=0

(n−7)(n+10)=0

n=7 or −10