The values of x to the nearest tenth in the quadratic expression x² + x - 5 = 0 are x = 1.8 and x = -2.8.
Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is expressed as;
ax² + bx + c = 0
Where x is the unknown
To solve for x, we use the quadratic formula
x = (-b±√(b² - 4ac)) / (2a)
Given the data in the question;
x² + x - 5 = 0
Hence
We substitute this values into the quadratic formula above
x = (-b±√(b² - 4ac)) / (2a)
x = (-1±√(1² - (4×1×-5))) / (2×1)
x = (-1±√(1 +20)) / (2)
x = (-1±√(21)) / 2
Hence;
x = (-1 + √21 )/(2) Or (-1 - √21)/(2)
x = 1.8 or x = -2.8
Therefore, the values of x to the nearest tenth in the quadratic expression x² + x - 5 = 0 are x = 1.8 and x = -2.8.
Learn more about quadratic equations here: brainly.com/question/1863222
