Question

The sum of a whole number and twice the square if the number is 10. Find the Number​

Answer 1

Answer:

$x = 2$

Step-by-step explanation:

$let \: x \: be \: the \: number \\ = x + 2 {x}^{2} = 10 \\ = 2x ^{2} + x + 10 = 0 \\ = 2 {x}^{2} + 5x - 4x + 10 = 0 \\ = \ 2x(x - 2) + (5x - 2) = 0 \\ = (2x + 5)(x - 2) \\ = so \: the \: numbers \: are \: \\ x = 2$

$or \: x = - 5 \div 2 \\ (x \: cannot \: be \: negative) \\ x = 2$