Mathematics
Grade10
Easy
Question
What are the values of a, b, c for the equation ![2 x to the power of 2 end exponent plus 5 x minus 8 equals 0.](data:image/png;base64,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)
- 2, -5, -8
- 2, 5, -8
- 2, 5, 8
- -2, 5, -8
Hint:
Any equation of the form p (x) = 0, where p (x) is a polynomial of degree 2, is a quadratic equation
The correct answer is: 2, 5, -8
Step 1 of 1:
We have given a quadratic equation ![2 x to the power of 2 end exponent plus 5 x minus 8 equals 0.](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH4AAAARCAYAAAAbgRgHAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAn1JREFUeNrtWEFEBFEYXkmSFUmSDrGSJHtJhySJrD0kWfaQTumSDknXdEp0SJJEkg5JJElWIkmHDpGkQxKdOmQve8jKGlH/r28Y00zzZua9Zpn5+NiZYd/v/e///u9/sZg6fIEa8ZrYGosQKlQQp4h30VaEE6VoC8KHfuJVtA3lh17iIfEdPfmeOCbpv5vQ4xMKfYQVg0YNcY1YhNqdEZsVrVVL3CDegJt45wiuxlFiHM8dSNaoz4DaiDkkX5WBLFdsExeJlcQq4hKSogIXxGHD8xDeeUIL8cFnpZ+KnjyPCS3nxJcsTK6mYJ0slMWMVT+Fa2XIJnB6zVjANx2c9HbFlewm8aJxy0LRoKB64l8VrMMtOmXxfgDfXKMHcm8FHs0aDc/jxHWB/ht0xYvELQtchdOm/Vz26Ff+2r8CWokZ/C7vNuhq9KNem+9p4gp+D/rpJxISr8GUssLMmqrsv+M2IonYNHioN2KfgnU+//jmqrXUEY9t5MOIc4xpPAHUK3TnImrBBqqLOE98cmgxbuL2Ghf7oz34HL0aOb4XHIj/Srzw3UkCSRe5Xp3BiUoqOMV+TFvK4c5AZdw6jmz+n/vupeRDlreR+mpRqecq2cL8KTr3r0gY+VS49VJAcYtUmuwbzEO0MKsCcDR3bHgOIJkiqnCCA8L99FaC1MtMfCckNYi4dTzaqGYHer1MZFCwZuyIHO6c4OjVABNVb7os2A0o8UdwyxVgGknPBBS3MRmPkHY9tgHENqlgvUu0MP2yaM6m3f1qGSJ9pQobbXXtuG8jN6rBlxfPMDgFqFa3xVgTRNxZjI8a5J0TMaJoLTbk21jnI/ZzZRsXSXyEkOEb1AnICAL8TUgAAAC6dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1uPjI8L21uPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4rPC9tbz48bW4+NTwvbW4+PG1pPng8L21pPjxtbz4tPC9tbz48bW4+ODwvbW4+PG1vPj08L21vPjxtbj4wPC9tbj48bW8+LjwvbW8+PC9tYXRoPg9aVP0AAAAASUVORK5CYII=)
Now,
![2 x to the power of 2 end exponent plus 5 x minus 8 equals 0](data:image/png;base64,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)
a = 2, b = 5, c = - 8
In a general quadratic equation is