Question

Find the number of real number solutions for the equation. x2 + 5x + 7 = 0 0 2 1 cannot be determined

Answer 1

Answer:

0 solution

Step-by-step explanation:

Given

$x^2 + 5x+ 7 = 0$

Required

Find number of solutions;

The number of solutions can be determined via the value of determinants, D;

Such that

$D = {b^2} - {4ac}$

By comparing the general form of equation;

$ax^2 +bc x + c = 0$

with $x^2 + 5x+ 7 = 0$

This gives

$a = 1\\b = 5\\c = 7$

So;

$D = {b^2} - {4ac}$ becomes

$D = {5^2} - {4*1*7}$

$D = {25} - {28}$

$D = -3$

The calculated value of D is less than 0;

This implies that $x^2 + 5x+ 7 = 0$ has no real solution