Answer:
Roots are 0 , -13.
Step-by-step explanation:
Given : x² = –13x – 4.
To find : Which are the solutions.
Solution : We have given that x² +13x + 4 = 0.
By discriminate formula
For quadratic equation a² +bx + c = 0.
[tex]x_{1}[/tex] = [tex]\frac{-b ±\sqrt{b^{2} -4 a * c } }{2}[/tex].
Plugging the values
[tex]x_{1}[/tex] = [tex]\frac{-13 ±\sqrt{13^{2} -4 *1 * 4}}{2}[/tex].
[tex]x_{1}[/tex] = [tex]\frac{-13 +\sqrt{13^{2} -4 *1 * 4}}{2}[/tex].
[tex]x_{1}[/tex] = [tex]\frac{-13 +\sqrt{169 - 16}}{2}[/tex].
[tex]x_{1}[/tex] = [tex]\frac{-13 +\sqrt{153}}{2}[/tex].
[tex]x_{1}[/tex] = [tex]\frac{-0.6306}{2}[/tex].
[tex]x_{1}[/tex] = -0.3153.
Approximate 0
[tex]x_{2}[/tex] = [tex]\frac{-13 -\sqrt{13^{2} -4 *1 * 4}}{2}[/tex].
[tex]x_{2}[/tex] = [tex]\frac{-13 -\sqrt{169 -16}}{2}[/tex].
[tex]x_{2}[/tex] = [tex]\frac{-13 -\sqrt{153}}{2}[/tex].
[tex]x_{2}[/tex] = [tex]\frac{-25.36}{2}[/tex].
[tex]x_{2}[/tex] = -12.68
Approximate - 13
Therefore, Roots are 0 , -13.
