Question

quanto e x ao quadrado -14x+49=0

Answer 1

Dada a equação:

$\mathsf{x^2-14x+49=0}$

Onde:

$\boxed{\mathsf{a=1;\:b=-14;\:c=49}}$

Logo:

$\mathsf{x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}}\\\\\\\mathsf{x=\dfrac{-\left(-14\right)\pm \sqrt{14^2-\left(4\cdot 1\cdot 49\right)}}{2\cdot 1}}\\\\\\\mathsf{x=\dfrac{14\pm \sqrt{196-196}}{2}}\\\\\\\mathsf{x=\dfrac{14\pm \sqrt{0}}{2}}\\\\\\\mathsf{x=\dfrac{14}{2}}\\\\\\\boxed{\mathsf{x=7}}\: \: \checkmark$