Question

x² + 3x = 10
please answer send me ​

Answer 1

The answers are -5 and 2.So maximum answer is 2

Answer 2

x² + 3x = 10

⟹ x² + 3x - 10 = 0

Now, the equation has changed to quadratic form.

Using formula,

$\sf{x\: =\: {\dfrac{-b\: ±\: \sqrt{b^2\: -\: 4ac}}{2a}}}$

$\sf{\implies\: x\: =\: {\dfrac{-3\: ±\: \sqrt{3^2\: -\: 4\:\times\:1\:\times\:10}}{2\: \times\: 1}}}$

$\sf{\implies\: x\: =\: {\dfrac{-3\: ±\: \sqrt{9\: +\: 40}}{2}}}$

$\sf{\implies\: x\: =\: {\dfrac{-3\: ±\: \sqrt{49}}{2}}}$

$\sf{\implies\: x\: =\: {\dfrac{-3\: ±\: 7}{2}}}$

$\sf{\implies\: x\: =\: {\dfrac{-3\: +\: 7}{2}}}$ OR $\sf{\implies\: x\: =\: {\dfrac{-3\: -\: 7}{2}}}$

$\sf{\implies\: x\: =\: {\dfrac{4}{2}}}$ OR $\sf{\implies\: x\: =\: {\dfrac{-10}{2}}}$

⟹ x = 2 or x = -5