Answer:
smaller answer x=-9
larger answer x=1
Step-by-step explanation:
[tex]x^{2}[/tex]+8x+14=23
[tex]x^{2}[/tex]+8x-9=0
D=64+36=100
[tex]x_{1} =\frac{-8+10}{2} =1[/tex]
[tex]x_{2} =\frac{-8-10}{2} =-9[/tex]
so, smaller answer x=-9
larger answer x=1
Answer:
x = - 9, x = 1
Step-by-step explanation:
Given
x² + 8x + 14 = 23 ( subtract 23 from both sides )
x² + 8x - 9 = 0 ← in standard form
(x + 9)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9 ← smaller answer
x - 1 = 0 ⇒ x = 1 ← larger answer
